Oleg V. Besov's Curriculum Vitae

Curriculum Vitae

see also the paper To the 70th Birthday of O.V. Besov
in Proceedings of the Steklov Institute of Mathematics, vol. 243 (2003), pp. 1-2

Name: Oleg Vladimirovich Besov

Address:

Prof. Oleg Besov
Steklov Mathematical Institute
Gubkina str. 8
Moscow, 119991 Russia

phone: +7-499-9410189
fax: +7-499-1350555

e-mail: besov@mi.ras.ru
www: http://www.mi.ras.ru/~besov

Academic Status:

Corresponding Member of the Russian Academy of Sciences (since 1990)
Member of the European Academy of Sciences (since 2002)
Doctor of Sciences (Phys.–Math.) (since 1967)
Professor (since 1970)

Academic Employment:

1994–present: Head of the Department of Function Theory of the Steklov Mathematical Institute
1970–present: Professor, Moscow Institute of Physics and Technology
1960–1994: Researcher at the Steklov Mathematical Institute

Current research interests:

Functional analysis
Function spaces on irregular domains, including extension, interpolation, embedding of function spaces and equivalent norms
Spaces of functions with variable smoothness
Integral representations of functions

Main scientific achievements:

Integral'nye predstavleniya funktsii i teoremy vlozheniya

Integral
Representations
of Functions
and
Embedding
Theorems

Recent talks and conferences:

2011:

8th International Conference on Function Spaces, Differential Operators, and Nonlinear Analysis (FSDONA-2011), September 18–24, 2011, Tabarz/Thür, Germany.
The 8th International ISAAC Congress, August 22–27, 2011, Moscow, Russia.

2010:

International Workshop on Smoothness, Approximation, and Function Spaces, October 10–16, 2010, Oppurg/Thür, Germany.

2009:

International Conference "Spectral Problems and Related Topics," Moscow, November 18–21, 2009.
International Conference "Contemporary Analysis and Geometry," Novosibirsk (Russia), September 14–20, 2009.
International Conference "Functional Methods in Approximation Theory and Operator Theory III" dedicated to the memory of V.K. Dzyadyk, Volyn (Ukraine), August 22–26, 2009.
7th International ISAAC Congress, Imperial College London, July 13–18, 2009.
International Conference "Modern Problems of Mathematics, Mechanics and Their Applications" dedicated to the 70th anniversary of V.A. Sadovnichy, Moscow State University, March 30–April 2, 2009.

2008:

7th Australia–New Zealand Mathematics Convention, Department of Mathematics and Statistics, University of Canterbury, Christchurch, New Zealand, December 8–12, 2008.
Australia, December 2008.
International Conference "Differential Equations, Function Spaces, Approximation Theory" dedicated to the 100th birthday of S.L. Sobolev, Novosibirsk (Russia), October 5–12, 2008.
International Workshop on Function Spaces and Applications, Freyburg/Unstrut (Germany), July 6–12, 2008.
Liouville Theorems and Detours, Cortona (Italy), May 18–24, 2008.

Lectures:

teaching materials

Department of Higher Mathematics

Mathematical Analysis, part I (pdf), 2004, 325 p.
Mathematical Analysis, part II (pdf), 2005, 216 p.

Publications (2010–2011, 2000–2009, 1990–1999, 1980–1989, 1970–1979, 1960–1969):

On Some Properties of Harmonic Functions Defined on the Half-Space, Izv. Akad. Nauk SSSR, Ser. Mat., 1956, vol. 20, pp. 469–484.
On Some Conditions for the Derivatives of Periodic Functions to Belong to $L_p$, Nauchn. Dokl. Vyssh. Shkoly Fiz.-Mat. Nauk, 1959, no. 1, pp. 13–17.
On a Family of Function Spaces. Embedding and Extension Theorems, Dokl. Akad. Nauk SSSR, 1959, vol. 126, no. 6, pp. 1163–1165.
On Some Properties of the Spaces $H_p^{(r_1,\dots,r_m)}$, Izv. Vyssh. Uchebn. Zaved., Mat., 1960, no. 1, pp. 16–23.
On a Family of Function Spaces. Embedding and Extension Theorems, Cand. Sci. (Phys.–Math.) Dissertation, Moscow: Steklov Inst. Math., USSR Acad. Sci., 1960.
A Study of a Family of Function Spaces in Connection with Embedding and Extension Theorems, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1961, vol. 60, pp. 42–81. Engl. transl.: AMS Transl., Ser. 2, 1964, vol. 40, pp. 85–126.
On Embedding Theorems for Spaces of Differentiable Functions, Usp. Mat. Nauk, 1961, vol. 16, no. 5, pp. 217–218.
On Extension of Functions Preserving the Properties of the Second-Order Integral Modulus of Smoothness, Mat. Sb., 1962, vol. 58, no. 2, pp. 673–684.
An Example in the Theory of Embedding Theorems, Dokl. Akad. Nauk SSSR, 1962, vol. 143, no. 5, pp. 1014–1016.
Extension of Functions Preserving the Differential–Difference Properties in $L_p$, Dokl. Akad. Nauk SSSR, 1963, vol. 150, no. 5, pp. 963–966.
Extension of Functions beyond the Boundary of a Domain Preserving the Differential–Difference Properties in $L_p$, Mat. Sb., 1965, vol. 66, no. 1, pp. 80–96. Engl. transl.: AMS Transl., Ser. 2, 1969, vol. 79, pp. 33–53.
Extension of Some Classes of Differentiable Functions beyond the Boundary of a Domain, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1965, vol. 77, pp. 35–44.
On the Density of Compactly Supported Functions and Extension of Classes of Differentiable Functions, Dokl. Akad. Nauk SSSR, 1965, vol. 165, no. 4, pp. 738–741.
On the Embedding and Extension Theory for Classes of Differentiable Functions, Doctoral (Phys.–Math.) Dissertation, Moscow: Steklov Inst. Math., USSR Acad. Sci., 1966.
$L_p$-Estimates for a Class of Nonisotropically Singular Integrals, Dokl. Akad. Nauk SSSR, 1966, vol. 169, no. 6, pp. 1250–1253. Jointly with V.P. Il'in and P.I. Lizorkin.
On Some Properties of Weighted Classes, Dokl. Akad. Nauk SSSR, 1966, vol. 171, no. 3, pp. 514–516. Jointly with J. Kadlec and A. Kufner.
On the Embedding and Extension Theory for Classes of Differentiable Functions, Mat. Zametki, 1967, vol. 1, no. 2, pp. 235–244.
On Conditions for the Existence of a Classical Solution to the Wave Equation, Sib. Mat. Zh., 1967, vol. 8, no. 2, pp. 243–256.
Extension of Functions from $L_p^l$ and $W_p^l$, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1967, vol. 89, pp. 5–17.
On the Density of Compactly Supported Functions in $\mathcal L_{p,\theta}^{\mathbf l}$ and the Extension of Functions, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1967, vol. 89, pp. 18–30.
Singular Integral Operators and Sequences of Convolutions in $L_p$-Spaces, Mat. Sb., 1967, vol. 73, no. 1, pp. 65–88. Jointly with P.I. Lizorkin.
On Coercivity in a Nonisotropic Sobolev Space, Mat. Sb., 1967, vol. 73, no. 4, pp. 585–599.
A Natural Extension of a Class of Domains in Embedding Theorems, Mat. Sb., 1968, vol. 75, no. 4, pp. 483–495. Jointly with V.P. Il'in.
On the Density of Smooth Functions in Weighted Spaces, Czech. Math. J., 1968, vol. 18, pp. 178–188. Jointly with A. Kufner.
The Behavior of Differentiable Functions at Infinity and the Density of Compactly Supported Functions, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1969, vol. 105, pp. 3–14.
Interpolation Theorems for Some Spaces of Differentiable Functions, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1969, vol. 105, pp. 15–20. Jointly with A.D. Dzhabrailov.
Classes of Functions with a Generalized Mixed Hölder Condition, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1969, vol. 105, pp. 21–29.
An Embedding Theorem for the Limit Exponent, Mat. Zametki, 1969, vol. 6, no. 2, pp. 129–138. Jointly with V.P. Il'in.
On Extension of Functions beyond a Domain Preserving the Modulus of Smoothness in $L_p$, Proc. Conf. on Constructive Theory of Functions (Budapest, 1969), Budapest: Akad. Kiad\'o, 1972, pp. 61–67.
An Embedding Theory for Classes of Differentiable Functions of Several Variables, Differentsial'nye uravneniya s chastnymi proizvodnymi: Trudy simpoziuma, posvyashchennogo 60-letiyu S.L. Soboleva (Partial Differential Equations: Proc. Symp. Dedicated to the 60th Birthday of S.L. Sobolev), Moscow: Nauka, 1970, pp. 38–63. Jointly with V.P. Il'in, L.D. Kudryavtsev, P.I. Lizorkin, and S.M. Nikol'skii. Engl. transl.: AMS Transl., Ser. 2, 1976, vol. 105, pp. 57–94.
Estimates of Derivatives in the Mixed $L_p$-Norm on a Domain and Extension of Functions, Mat. Zametki, 1970, vol. 7, no. 2, pp. 147–154.
Approximation in $L_p$ of the Traces of Smooth Functions on a Nonsmooth Surface by Polynomials of a Fixed Degree, Tr. Mezhdunarodnoi konferentsii po konstruktivnoi teorii funktsii (Proc. Int. Conf. on Constructive Function Theory), Varna, 1970, Sofia: Bulg. Acad. Sci., 1972, pp. 19–24.
Th\'eor\`emes de plongement des espaces fonctionnels, Actes Congr\`es Int. Math. (Nice, 1970), Paris: Gauthier-Villars, 1971, vol. 2, pp. 467–473. Translated into Russian under the title Mezhdunarodnyi kongress matematikov v Nitstse, 1970: Doklady sovetskikh matematikov (Int. Congress of Mathematicians in Nice, 1970: Reports of Soviet Mathematicians), Moscow: Nauka, Fizmatlit, 1972, pp. 34–40.
The Behavior of Differentiable Functions on a Nonsmooth Surface, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1972, vol. 117, pp. 3–10.
On Traces of Classes of Differentiable Functions on a Nonsmooth Surface, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1972, vol. 117, pp. 11–21.
Estimates for the Moduli of Smoothness of Functions on Domains and Embedding Theorems, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1972, vol. 117, pp. 22–46.
Inequalities for the Moduli of Continuity of Functions Defined on a Domain, in Primenenie funktsional'nykh metodov k kraevym zadacham matematicheskoi fiziki: Tr. III Sov.–Chekhosl. soveshchaniya (Application of Functional Methods to the Boundary Value Problems of Mathematical Physics: Proc. 3rd Soviet–Czechoslovak Meeting), Novosibirsk, 1971, Novosibirsk: Inst. Mat. Sib. Otd. Akad. Nauk SSSR, 1972, pp. 3–10.
Inequalities for the Moduli of Continuity of Functions Defined on a Domain and Embedding Theorems, Dokl. Akad. Nauk SSSR, 1972, vol. 202, no. 3, pp. 507–510.
Multiplicative Estimates for Integral Norms of Differentiable Functions of Several Variables, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1974, vol. 131, pp. 3–15.
Estimates for the Moduli of Continuity of Abstract Functions Defined in a Domain, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1974, vol. 131, pp. 16–24.
On the Growth of a Mixed Derivative of a Function in $C^{(l_1,l_2)}$, Mat. Zametki, 1974, vol. 15, no. 3, pp. 355–362.
A Description of Moduli of Continuity in $L_2$, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1975, vol. 134, pp. 23–25. Jointly with S.B. Stechkin.
Integral'nye predstavleniya funktsii i teoremy vlozheniya (Integral Representations of Functions and Embedding Theorems), Moscow: Nauka, 1975. Jointly with V.P. Il'in and S.M. Nikol'skii.
Multiplicative Estimates for the Integral Moduli of Smoothness, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1976, vol. 140, pp. 21–26.
Intercellular Averages and an Error Estimate for Cubature Formulas in Sobolev Spaces and Their Generalizations, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1977, vol. 143, pp. 42–56.
Error Estimates for the Cubature Formulas of Weighted Integration, in Teoriya kubaturnykh formul i prilozheniya funktsional'nogo analiza k zadacham matematicheskoi fiziki: Tr. seminara S.L. Soboleva (Theory of Cubature Formulas and Applications of Functional Analysis to Problems of Mathematical Physics: Proc. S.L. Sobolev Seminar), Novosibirsk: Inst. Mat., Sib. Otd. Akad. Nauk SSSR, 1978, no. 1, pp. 36–45.
Error Estimates for Cubature Formulas in Terms of the Smoothness of Functions, C. R. Acad. Bulg. Sci., 1978, vol. 31, no. 8, pp. 949–952.
Integral Representations of Functions and Imbedding Theorems, New York: J. Wiley and Sons, 1978, vol. 1; 1979, vol. 2. Jointly with V.P. Il'in and S.M. Nikol'skii.
Projection Representations of Functions in Terms of Differences, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1979, vol. 150, pp. 3–10. Jointly with V.P. Il'in.
Error Estimates for Cubature Formulas in Terms of the Smoothness of Functions, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1979, vol. 150, pp. 11–23.
Weighted Estimates of Mixed Derivatives in a Domain, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1980, vol. 156, pp. 16–21.
On the Density of Compactly Supported Functions in a Weighted Sobolev Space, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1983, vol. 161, pp. 29–47.
Integral Representations of Functions in a Domain with the Flexible Horn Condition and Embedding Theorems, Dokl. Akad. Nauk SSSR, 1983, vol. 273, no. 6, pp. 1294–1297.
An Estimate for the $L_p$-Moduli of Continuity and Embedding Theorems for a Domain with the Flexible Horn Condition, Dokl. Akad. Nauk SSSR, 1984, vol. 275, no. 5, pp. 1036–1041.
Integral Representations of Functions and Embedding Theorems for a Domain with the Flexible Horn Condition, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1984, vol. 170, pp. 12–30.
The Littlewood–Paley Theorem for a Mixed Norm, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1984, vol. 170, pp. 31–36.
Estimates for the Integral Moduli of Continuity and Embedding Theorems for Domains with the Flexible Horn Condition, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1985, vol. 172, pp. 4–15.
Hörmander's Theorem on Fourier Multipliers, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1986, vol. 173, pp. 3–13.
Embedding of Sobolev Spaces on Domains with the Splitting Flexible Cone Condition, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1986, vol. 173, pp. 14–31.
Embeddings of an Anisotropic Sobolev Space for a Domain with the Flexible Horn Condition, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1987, vol. 180, pp. 50–52.
Embeddings of an Anisotropic Sobolev Space for a Domain with the Flexible Horn Condition, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1988, vol. 181, pp. 3–14.
Investigations in the Theory of Spaces of Differentiable Functions of Several Variables, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1988, vol. 182, pp. 68–127. Jointly with L.D. Kudryavtsev, P.I. Lizorkin, and S.M. Nikol'skii.
Application of Integral Representations of Functions to the Interpolation of Spaces of Differentiable Functions and to the Fourier Multipliers, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1989, vol. 187, pp. 3–21.
On the Sobolev–Liouville and Lizorkin–Triebel Spaces on a Domain, Tr. Mat. Inst. Steklova, Akad. Nauk SSSR, 1990, vol. 192, pp. 20–34.
Equivalent Normings of the Sobolev–Liouville Space on a Domain, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1992, vol. 194, pp. 15–32.
Interpolation of Spaces of Differentiable Functions Defined on a Domain, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1992, vol. 201, pp. 26–42.
Embeddings of the Sobolev–Liouville and Lizorkin–Triebel Spaces on a Domain, Dokl. Akad. Nauk, 1993, vol. 331, no. 5, pp. 538–540.
Weighted Spaces of Differentiable Functions of Variable Smoothness, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1995, vol. 210, pp. 31–40.
Embeddings of Spaces of Functions of Variable Smoothness, Dokl. Akad. Nauk, 1996, vol. 347, no. 1, pp. 7–10.
Integral'nye predstavleniya funktsii i teoremy vlozheniya (Integral Representations of Functions and Embedding Theorems), 2nd ed., rev. and compl., Moscow: Nauka, 1996. Jointly with V.P. Il'in and S.M. Nikol'skii.
Embeddings of Spaces of Differentiable Functions of Variable Smoothness, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1997, vol. 214, pp. 25–58.
Interpolation of Spaces of Differentiable Functions on a Domain, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1997, vol. 214, pp. 59–82.
Interpolation and Embeddings of Generalized Function Spaces $B_{p,q}^s$ and $F_{p,q}^s$ on a Domain, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1997, vol. 219, pp. 80–102 [Engl. transl. in Proc. Steklov Inst. Math., 1997, vol. 219, pp. 73–95] (pdf/rus, pdf/eng).
Interpolation and Embeddings of the Function Spaces $B_{pq}^s$ and $F_{pq}^s$ on a Domain, Dokl. Akad. Nauk, 1997, vol. 357, no. 6, pp. 727–730.
Extension by Zero of Functions of Several Variables, Mat. Zametki, 1998, vol. 64, no. 3, pp. 351–365 [Engl. transl. in Math. Notes, 1998, vol. 64, no. 3, pp. 303–315].
Estimates for $L_p$-Moduli of Continuity on Domains with Irregular Boundaries and Embedding Theorems, in Metricheskaya teoriya funktsii i smezhnye voprosy analiza (Metric Function Theory and Related Topics of Analysis), Moscow: AFTs, 1999, pp. 19–35.
On Function Spaces Defined by Pseudodifferential Operators, Dokl. Akad. Nauk, 1999, vol. 367, no. 6, pp. 730–733.
On Spaces of Functions of Variable Smoothness Defined by Pseudodifferential Operators, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1999, vol. 227, pp. 56–74 [Engl. transl. in Proc. Steklov Inst. Math., 1999, vol. 227, pp. 50–69] (pdf/rus, pdf/eng).
Estimates for Certain Integral Operators, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 1999, vol. 227, pp. 75–77 [Engl. transl. in Proc. Steklov Inst. Math., 1999, vol. 227, pp. 70–72] (pdf/rus, pdf/eng).
The Sobolev Embedding Theorem for a Domain with Irregular Boundary, Dokl. Akad. Nauk, 2000, vol. 373, no. 2, pp. 151–154.
Sobolev's Embedding Theorem for a Domain with Irregular Boundary, Mat. Sb., 2001, vol. 192, no. 3, pp. 3–26 [Engl. transl. in Sb. Math., 2001, vol. 192, pp. 323–346].
On the Compactness of Embeddings of Weighted Sobolev Spaces on a Domain with Irregular Boundary, Dokl. Akad. Nauk, 2001, vol. 376, no. 6, pp. 727–732.
S.M. Nikol'skii's Works on the Theory of Function Spaces and Its Applications, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 2001, vol. 232, pp. 25–30 [Engl. transl. in Proc. Steklov Inst. Math., 2001, vol. 232, pp. 19–24] (pdf/rus, pdf/eng).
On the Compactness of Embeddings of Weighted Sobolev Spaces on a Domain with Irregular Boundary, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 2001, vol. 232, pp. 72–93 [Engl. transl. in Proc. Steklov Inst. Math., 2001, vol. 232, pp. 66–87] (pdf/rus, pdf/eng).
Spaces of Functions of Fractional Smoothness on an Irregular Domain, Dokl. Akad. Nauk, 2002, vol. 383, no. 5, pp. 586–591.
Spaces of Differentiable Functions, in Function Spaces, Differential Operators and Nonlinear Analysis: The Hans Triebel Anniversary Volume, Haroske, D., Runst, T., and Schmeisser, H.-J., Eds., Basel: Birkhäuser, 2003, pp. 3–21. Jointly with G.A. Kalyabin.
Spaces of Functions of Fractional Smoothness on an Irregular Domain, Mat. Zametki, 2003, vol. 74, no. 2, pp. 163–183 [Engl. transl. in Math. Notes, 2003, vol. 74, pp. 157–176].
Equivalent Norms in Spaces of Functions of Fractional Smoothness on an Arbitrary Domain, Mat. Zametki, 2003, vol. 74, no. 3, pp. 340–349 [Engl. transl. in Math. Notes, 2003, vol. 74, pp. 326–334].
Equivalent Normings of Spaces of Functions of Variable Smoothness, Dokl. Akad. Nauk, 2003, vol. 391, no. 5, pp. 583–586 [Engl. transl. in Dokl. Math., 2003, vol. 68 (1), pp. 99–102].
Equivalent Normings of Spaces of Functions of Variable Smoothness, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 2003, vol. 243, pp. 87–95 [Engl. transl. in Proc. Steklov Inst. Math., 2003, vol. 243, pp. 80–88] (pdf/rus, pdf/eng).
Uniform Convergence Conditions for Trigonometric Fourier Series, Dokl. Akad. Nauk, 2004, vol. 395 (6), pp. 727–732 [Engl. transl. in Dokl. Math., 2004, vol. 69 (2), pp. 262–267].
A Simple Derivation of the Taylor Series Expansion of $(1+x)^\alpha$, Matematika v vysshem obrazovanii, 2004, no. 1, pp. 35–36.
Lectures on Mathematical Analysis, part I, Moscow: Moscow Institute of Physics and Technology, 2004, 325 p. (pdf).
Lectures on Mathematical Analysis, part II, Moscow: Moscow Institute of Physics and Technology, 2005, 216 p. (pdf).
Interpolation, Embedding, and Extension of Spaces of Functions of Variable Smoothness, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 2005, vol. 248, pp. 52–63 [Engl. transl. in Proc. Steklov Inst. Math., 2005, vol. 248, pp. 47–58] (pdf/rus, pdf/eng).
On the Interpolation, Embedding, and Extension of Spaces of Functions of Variable Smoothness, Dokl. Akad. Nauk, 2005, vol. 401 (1), pp. 7–11 [Engl. transl. in Dokl. Math., 2005, vol. 71 (2), pp. 163–167].
On the Scientific Work of S.M. Nikol'skii (with V.A. Sadovnichii and S.A. Telyakovskii), Usp. Mat. Nauk, 2005, vol. 60 (6), pp. 5–20 [Engl. transl. in Russ. Math. Surv., 2005, vol. 60 (6), pp. 1005–1020].
Green's Formula, Matematika v vysshem obrazovanii, 2005, no. 3, pp. 65–74.
Estimate of the Approximation of Periodic Functions by Fourier Series, Mat. Zametki, 2006, vol. 79 (5), pp. 784–787 [Engl. transl. in Math. Notes, 2006, vol. 79 (5), pp. 726–728].
Estimates for $L_p$ Modules of Continuity on Domains with an Irregular Boundary and Embedding Theorems, Sovrem. Mat., Fundam. Napr., 2007, vol. 25, pp. 21–33 [Engl. transl. in J. Math. Sci., 2008, vol. 155 (1), pp. 18–30].
Function Spaces of Lizorkin–Triebel Type on an Irregular Domain, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 2008, vol. 260, pp. 32–43 [Engl. transl. in Proc. Steklov Inst. Math., 2008, vol. 260, pp. 25–36].
Function Spaces of Lizorkin–Triebel Type on an Irregular Domain, Nonlinear Anal., Theory Methods Appl., 2009, vol. 70 (8), pp. 2842–2845.
Weighted Function Spaces with Constant and Variable Smoothness, Further Progress in Analysis: Proc. 6th Int. ISAAC Congr., Ankara (Turkey), Aug. 13–18, 2007, Ed. by H. Begehr et al., Hackensack, NJ: World Scientific, 2009, pp. 55–66.
Spaces of Functions of Fractional Smoothness on an Irregular Domain, Dokl. Akad. Nauk, 2009, vol. 425 (4), pp. 439–442 [Engl. transl. in Dokl. Math., 2009, vol. 79 (2), pp. 223–226] (pdf in Russian).
Integral Estimates for Differentiable Functions on Irregular Domains, Dokl. Akad. Nauk, 2010, vol. 430 (5), pp. 583–585 [Engl. transl. in Dokl. Math., 2010, vol. 81 (1), pp. 87–90] (pdf in Russian).
Spaces of Functions of Fractional Smoothness on an Irregular Domain, Tr. Mat. Inst. Steklova, Ross. Akad. Nauk, 2010, vol. 269, pp. 31–51 [Engl. transl. in Proc. Steklov Inst. Math., 2010, vol. 269, pp. 25–45].
Integral Estimates for Differentiable Functions on Irregular Domains, Mat. Sb., 2010, vol. 201 (12), pp. 69–82 [Engl. transl. in Sb. Math., 2010, vol. 201, pp. 1777–1790].
Sobolev Embedding Theorem for Anisotropically Irregular Domains, Dokl. Akad. Nauk, 2011, vol. 438 (5), pp. 586–589 [Engl. transl. in Dokl. Math., 2011, vol. 83 (3), pp. 367–370] (pdf in Russian).
Sobolev's Embedding Theorem for Anisotropically Irregular Domains, Trudy Moskovskogo fiziko-tekhnicheskogo instituta, 2011, vol. 3 (1), pp. 18–27 [Engl. transl. in Eurasian Math. J., 2011, vol. 2 (1), pp. 32–51].

2000–2009, 1990–1999, 1980–1989, 1970–1979, 1960–1969, 1956–1959

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