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## Burenkov, Viktor Ivanovich

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 Author ID: burenkov.viktor-i Published as: Burenkov, V. I.; Burenkov, Victor I.; Burenkov, Victor; Burenkov, Viktor Ivanovich; Burenkov, Viktor I.; Burenkov, Victor Ivanovich; Burenkov, V.; Burenkov, Viktor External Links: MGP · Math-Net.Ru
 Documents Indexed: 190 Publications since 1965, including 13 Books Biographic References: 3 Publications
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all top 5

#### Serials

 27 Proceedings of the Steklov Institute of Mathematics 18 Eurasian Mathematical Journal 15 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 13 Soviet Mathematics. Doklady 8 Doklady Mathematics 7 Mathematische Nachrichten 6 Mathematical Inequalities & Applications 5 Mathematical Notes 3 Differential Equations 3 Journal of Differential Equations 3 Russian Academy of Sciences. Doklady. Mathematics 3 Complex Variables and Elliptic Equations 2 Matematicheskie Zametki 2 Journal of Computational and Applied Mathematics 2 Potential Analysis 2 Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika 2 Izvestiya: Mathematics 1 Inverse Problems 1 Studia Mathematica 1 Acta Scientiarum Mathematicarum 1 Differentsial’nye Uravneniya 1 Glasgow Mathematical Journal 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Mathematics of the USSR, Sbornik 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Positivity 1 Journal of Inequalities and Applications 1 Revista Matemática Complutense 1 Trudy Instituta Matematiki 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Journal of Function Spaces and Applications 1 Matematicheskiĭ Zhurnal 1 Contemporary Mathematics 1 Journal of Mathematical Inequalities 1 Kyoto Journal of Mathematics
all top 5

#### Fields

 106 Functional analysis (46-XX) 40 Operator theory (47-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 35 Real functions (26-XX) 30 Partial differential equations (35-XX) 18 Approximations and expansions (41-XX) 5 General and overarching topics; collections (00-XX) 4 Ordinary differential equations (34-XX) 3 History and biography (01-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Numerical analysis (65-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

93 Publications have been cited 790 times in 413 Documents Cited by Year
Sobolev spaces on domains. Zbl 0893.46024
Burenkov, Victor I.
1998
Boundedness of the fractional maximal operator in local Morrey-type spaces. Zbl 1207.42015
Burenkov, V. I.; Gogatishvili, A.; Guliyev, V. S.; Mustafayev, R. Ch.
2010
Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces. Zbl 1044.42015
Burenkov, Viktor I.; Guliyev, Huseyn V.
2004
Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces. Zbl 1134.46014
Burenkov, Viktor I.; Guliyev, Huseyn V.; Guliyev, Vagif S.
2007
Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1171.42003
Burenkov, Victor I.; Guliyev, Vagif S.
2009
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
2011
Spectral stability of the Neumann Laplacian. Zbl 1042.35035
Burenkov, V. I.; Davies, E. B.
2002
Spectral stability of Dirichlet second order uniformly elliptic operators. Zbl 1153.35055
Burenkov, Victor I.; Lamberti, Pier Domenico
2008
Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I. Zbl 1270.42014
Burenkov, V. I.
2012
Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II. Zbl 1277.42001
Burenkov, V. I.
2013
Description of interpolation spaces for local Morrey-type spaces. Zbl 1216.46019
Burenkov, V. I.; Nursultanov, E. D.
2010
Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type space. Zbl 1215.42019
Burenkov, V. I.; Guliyev, V. S.; Serbetci, A.; Tararykova, T. V.
2010
Spectral stability of higher order uniformly elliptic operators. Zbl 1219.35154
Burenkov, Victor; Lamberti, Pier Domenico
2009
Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations. Zbl 1304.42055
Burenkov, V. I.; Nursultanov, E. D.; Chigambayeva, D. K.
2014
Conformal spectral stability estimates for the Dirichlet Laplacian. Zbl 1330.47058
Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A.
2015
Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space. Zbl 1275.47070
Burenkov, V. I.; Oinarov, R.
2013
On boundedness of the Hardy operator in Morrey-type spaces. Zbl 1321.47080
Burenkov, Victor I.; Jain, Pankaj; Tararykova, Tamara V.
2011
Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators. Zbl 1302.35271
Burenkov, Victor I.; Lamberti, Pier Domenico
2012
Stability estimates for resolvents, eigenvalues, and eigenfunctions of elliptic operators on variable domains. Zbl 1183.47040
Barbatis, Gerassimos; Burenkov, Victor I.; Lamberti, Pier Domenico
2010
On boundedness of the fractional maximal operator from complementary Morrey-type spaces to Morrey-type spaces. Zbl 1234.42006
Burenkov, V. I.; Guliyev, H. V.; Guliyev, V. S.
2007
Spectral stability of general non-negative selfadjoint operators with applications to Neumann-type operators. Zbl 1117.35058
Burenkov, Victor I.; Lamberti, Pier Domenico
2007
On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms. Zbl 0917.47057
Burenkov, V. I.; Evans, W. D.
1998
Description of interpolation spaces for general local Morrey-type spaces. Zbl 1277.42026
Burenkov, V. I.; Darbayeva, D. K.; Nursultanov, E. D.
2013
On exact constants in inequalities for the norms of intermediate derivatives on a finite interval. Zbl 0455.46023
Burenkov, V. I.
1980
Best constants in reversed Hardy’s inequalities for quasimonotone functions. Zbl 0805.26008
Bergh, Jöran; Burenkov, Victor; Persson, Lars Erik
1994
Calculation of the norm of a positive operator on the cone of monotone functions. Zbl 0908.47051
Burenkov, V. I.; Gol’dman, M. L.
1995
Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces. Zbl 1135.42011
Burenkov, V. I.; Guliev, V. S.; Guliev, G. V.
2006
Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1327.31016
Burenkov, V. I.; Guliev, V. S.; Guliev, G. V.
2007
Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces. Zbl 1184.42012
Burenkov, V. I.; Guliev, V. S.; Tararykova, T. V.; Serbetci, A.
2008
An analog of Young’s inequality for convolutions of functions for general Morrey-type spaces. Zbl 1351.42030
Burenkov, V. I.; Tararykova, T. V.
2016
Sobolev’s integral representation and Taylor’s formula. Zbl 0313.46032
Burenkov, V. I.
1974
On exact constants in inequalities for norms of intermediate derivatives on a finite interval. II. Zbl 0643.46023
Burenkov, V. I.
1986
Necessary and sufficient conditions for the boundedness of the maximal operator in local Morrey-type spaces. Zbl 1123.42301
Burenkov, V. I.; Guliev, G. V.
2003
On the density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set. Zbl 0313.46033
Burenkov, V. I.
1974
On some sharp reversed Hölder and Hardy type inequalities. Zbl 0829.26008
Bergh, Jöran; Burenkov, Victor; Persson, Lars Erik
1994
Extension theorems for Sobolev spaces. Zbl 0948.46026
Burenkov, Victor
1999
Sharp multidimensional multiplicative inequalities for weighted $$L_p$$ spaces with homogeneous weights. Zbl 0910.26014
Barza, Sorina; Burenkov, Victor; Pečarić, Josip; Persson, Lars-Erik
1998
On a method of extending differentiable functions. Zbl 0433.46031
Burenkov, V. I.
1976
On the extension of functions from $$L_p$$. Zbl 0417.46037
Burenkov, V. I.; Gol’dman, M. L.
1979
Necessary and sufficient conditions for the boundedness of the maximal operator from Lebesgue spaces to Morrey-type spaces. Zbl 1304.42046
Burenkov, V. I.; Goldman, M. L.
2014
Conformal spectral stability estimates for the Neumann Laplacian. Zbl 1355.47010
Burenkov, V. I.; Gol’dshtein, V.; Ukhlov, A.
2016
Über die Additivität der Klassen $$W_ p^{(r)} (\Omega)$$. Zbl 0162.18002
Burenkov, V. I.
1967
Mollifying operators with variable step and their application to approximation by infinitely differentiable functions. Zbl 0536.46021
Burenkov, V. I.
1982
On the extension of functions with preservation of seminorm. Zbl 0355.46014
Burenkov, V. I.
1976
The interaction of analysis and geometry. International school-conference on analysis and geometry, Novosibirsk, Russia, August 23–September 3, 2004. Zbl 1109.00005
Burenkov, V. I. (ed.); Iwaniec, T. (ed.); Vodopyanov, S. K. (ed.)
2007
Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness. Zbl 0922.46033
Burenkov, V. I.; Evans, W. D.
1998
On the best constant in Hardy’s inequality with $$0<p<1$$ for monotone functions. Zbl 0805.26009
Burenkov, V. I.
1992
Functional spaces. Basic integral inequalities connected with $$L_ p$$- spaces. Textbook. (Funktsional’nye prostranstva. Osnovnye integral’nye neravenstva, svyazannye s prostranstvami $$L_ p$$. Uchebnoe posobie.) Zbl 0749.46018
Burenkov, V. I.
1989
Spectral stability of nonnegative self-adjoint operators. Zbl 1219.35153
Burenkov, V. I.; Lamberti, P. D.
2005
Spectral stability of the $$p$$-Laplacian. Zbl 1169.35363
Burenkov, Victor I.; Lamberti, Pier Domenico
2009
Spectral stability estimates for the eigenfunctions of second order elliptic operators. Zbl 1268.47054
Burenkov, Victor I.; Feleqi, Ermal
2012
Hausdorff operators on Morrey-type spaces. Zbl 1437.47013
Burenkov, V.; Liflyand, E.
2020
On the extension of functions with preservation and with deterioration of the differential properties. Zbl 0351.46022
Burenkov, V. I.
1975
On exact constants in inequalities for the norms of intermediate derivatives on a finite interval. Zbl 0519.46025
Burenkov, V. I.
1983
Equivalent quasi-norms involving differences and moduli of continuity. Zbl 1207.46029
Burenkov, V. I.; Senouci, A.; Tararykova, T. V.
2010
Hardy-type inequality for $$0<p<1$$ and hypodecreasing functions. Zbl 1273.47057
Burenkov, V. I.; Senouci, A.; Tararykova, T. V.
2010
Extension theory for Sobolev spaces on open sets with Lipschitz boundaries. Zbl 0964.46014
Burenkov, Viktor I.
1999
On weighted Hardy and Poincaré-type inequalities for differences. Zbl 0886.26013
Burenkov, V. I.; Evans, W. D.; Goldman, M. L.
1997
On precise constants in Sobolev imbedding theorems. Zbl 0662.46038
Burenkov, V. I.; Gusakov, V. A.
1987
Conditional hypoellipticity and Fourier multipliers for weighted $$L_ p$$-spaces with an exponential weight. Zbl 0819.35026
Burenkov, Victor I.
1993
Extension of functions with preservation of Sobolev seminorm. Zbl 0635.46028
Burenkov, V. I.
1987
Spectral stability of elliptic selfadjoint differential operators with Dirichlet and Neumann boundary conditions. Zbl 1131.35048
Burenkov, Victor I.; Lamberti, Pier Domenico
2006
Extension of the notion of a gap to differential operators defined on different open sets. Zbl 1268.47055
Burenkov, Victor I.; Feleqi, Ermal
2013
Imbedding and continuation for classes of differentiable functions of several variables defined in the whole space. Zbl 0185.20603
Burenkov, V. I.
1968
On approximation of functions in Sobolev spaces by finite functions on an arbitrary open set. Zbl 0253.46066
Burenkov, V. I.
1972
The theorem on repeated norms for Nikol’skij-Besov spaces and its application. Zbl 0688.41041
Burenkov, V. I.
1988
Approximation by infinitely differentiable functions with preservation of boundary values. Zbl 0709.41509
Burenkov, V. I.
1989
Extension of functions with preservation of the Sobolev semi-norm. Zbl 0591.46023
Burenkov, V. I.
1985
Spectral stability of the Robin Laplacian. Zbl 1233.35082
Burenkov, V. I.; Lanza De Cristoforis, M.
2008
Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries. Zbl 1448.46026
Burenkov, V. I.; Chigambayeva, D. K.; Nursultanov, E. D.
2020
On the approximation of functions in the space $$W^r_p(\Omega)$$ by functions with compact support for an arbitrary open set $$\Omega$$. Zbl 0322.46041
Burenkov, V. I.
1974
On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators. Zbl 1247.47017
Burenkov, V. I.; Otelbaev, M.
2011
Lower estimates of the norms of extension operators for Sobolev spaces on the halfline. Zbl 0986.46021
Burenkov, Victor I.; Kalyabin, Gennadiy A.
2000
Estimates for constants in additivity inequalities for function spaces. Zbl 0863.46024
Burenkov, V. I.; Senusi, A.
1994
On precise constants in Sobolev imbedding theorems. III. Zbl 0852.46032
Burenkov, V. I.; Gusakov, V. A.
1993
Extension theorem for Sobolev spaces and spaces with generalized smoothness for degenerate open sets. Zbl 0962.46022
Burenkov, V. I.
2000
Exact analogues of the Hardy inequality for differences in the case of related weights. Zbl 1033.26021
Burenkov, V. I.; Goldman, M. L.
1999
The weight Hardy inequality for differences and the complete continuity of the embedding of Sobolev spaces for domains with arbitrary strong degeneracy. Zbl 0978.46015
Burenkov, V. I.; Evans, V. D.
1997
Second order Opial inequalities in $${\mathcal L}^p$$ spaces and applications. Zbl 0981.26018
Brown, Richard; Burenkov, Victor; Clark, Steve; Hinton, Don
1999
Hardy-type inequalities for moduli of continuity. Zbl 0978.46016
Burenkov, V. I.; Gol’dman, M. L.
1999
Exact bounds for the minimum norm of extension operators for Sobolev spaces. Zbl 0889.46034
Burenkov, V. I.; Gorbunov, A. L.
1997
On Hardy-Steklov and geometric Steklov operators. Zbl 1128.26011
Burenkov, V.; Jain, P.; Tararykova, T.
2007
On partitions of unity. Zbl 0476.46028
Burenkov, V. I.
1981
On the extension of functions of anisotropic spaces with conservation of the class. Zbl 0417.46038
Burenkov, V. I.; Faĭn, B. L.
1979
On integral inequalities involving differences. Zbl 1069.26014
Burenkov, V. I.; Senouci, A.
2004
Estimates of regularized solutions of equations of convolution type in function spaces with noninteger order of differentiation. Zbl 0673.65029
Burenkov, V. I.; Dorofeev, I. F.; Pankratov, A. S.
1988
On sharp constants in inequalities for the modulus of a derivative. Zbl 1076.26012
Burenkov, V. I.; Gusakov, V. A.
2003
A weighted Hardy-type inequality for $$0<p<1$$ with sharp constant. Zbl 1326.26031
Azzouz, Noureddine; Burenkov, V. I.; Senouci, Abdelkader
2015
Approximation by $$C^{\infty}$$ functions in Morrey spaces. Zbl 1326.46024
Burenkov, V. I.; Lanza de Cristoforis, M.; Kydyrmina, N. A.
2014
Über Einbettungssätze für das Gebiet $$R_ k =\{\alpha_ i h < x^{k_ i}_ i < \beta_ i h; 0 < h < 1\}$$. Zbl 0169.16002
Burenkov, V. I.
1968
Über die Approximation von Funktionen aus dem Raum C$$^r(\Omega)$$ vermittels finiter Funktionen für eine beliebige offene Menge $$\Omega^*$$. Zbl 0262.41029
Burenkov, V. I.
1972
On the interconnection of norms of operators in periodic and nonperiodic function spaces. Zbl 0557.46024
Burenkov, V. I.; Gol’dman, M. L.
1984
On the equivalence of the $$K$$-functional and the modulus of continuity on the Morrey spaces. Zbl 1440.46019
Burenkov, Victor; Ghorbanalizadeh, Arash; Sawano, Yoshihiro
2019
Hausdorff operators on Morrey-type spaces. Zbl 1437.47013
Burenkov, V.; Liflyand, E.
2020
Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries. Zbl 1448.46026
Burenkov, V. I.; Chigambayeva, D. K.; Nursultanov, E. D.
2020
On the equivalence of the $$K$$-functional and the modulus of continuity on the Morrey spaces. Zbl 1440.46019
Burenkov, Victor; Ghorbanalizadeh, Arash; Sawano, Yoshihiro
2019
An analog of Young’s inequality for convolutions of functions for general Morrey-type spaces. Zbl 1351.42030
Burenkov, V. I.; Tararykova, T. V.
2016
Conformal spectral stability estimates for the Neumann Laplacian. Zbl 1355.47010
Burenkov, V. I.; Gol&rsquo;dshtein, V.; Ukhlov, A.
2016
Conformal spectral stability estimates for the Dirichlet Laplacian. Zbl 1330.47058
Burenkov, V. I.; Gol&rsquo;dshtein, V.; Ukhlov, A.
2015
A weighted Hardy-type inequality for $$0<p<1$$ with sharp constant. Zbl 1326.26031
Azzouz, Noureddine; Burenkov, V. I.; Senouci, Abdelkader
2015
Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations. Zbl 1304.42055
Burenkov, V. I.; Nursultanov, E. D.; Chigambayeva, D. K.
2014
Necessary and sufficient conditions for the boundedness of the maximal operator from Lebesgue spaces to Morrey-type spaces. Zbl 1304.42046
Burenkov, V. I.; Goldman, M. L.
2014
Approximation by $$C^{\infty}$$ functions in Morrey spaces. Zbl 1326.46024
Burenkov, V. I.; Lanza de Cristoforis, M.; Kydyrmina, N. A.
2014
Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II. Zbl 1277.42001
Burenkov, V. I.
2013
Necessary and sufficient conditions for boundedness of the Hardy-type operator from a weighted Lebesgue space to a Morrey-type space. Zbl 1275.47070
Burenkov, V. I.; Oinarov, R.
2013
Description of interpolation spaces for general local Morrey-type spaces. Zbl 1277.42026
Burenkov, V. I.; Darbayeva, D. K.; Nursultanov, E. D.
2013
Extension of the notion of a gap to differential operators defined on different open sets. Zbl 1268.47055
Burenkov, Victor I.; Feleqi, Ermal
2013
Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. I. Zbl 1270.42014
Burenkov, V. I.
2012
Sharp spectral stability estimates via the Lebesgue measure of domains for higher order elliptic operators. Zbl 1302.35271
Burenkov, Victor I.; Lamberti, Pier Domenico
2012
Spectral stability estimates for the eigenfunctions of second order elliptic operators. Zbl 1268.47054
Burenkov, Victor I.; Feleqi, Ermal
2012
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
2011
On boundedness of the Hardy operator in Morrey-type spaces. Zbl 1321.47080
Burenkov, Victor I.; Jain, Pankaj; Tararykova, Tamara V.
2011
On the singular numbers of correct restrictions of non-selfadjoint elliptic differential operators. Zbl 1247.47017
Burenkov, V. I.; Otelbaev, M.
2011
Boundedness of the fractional maximal operator in local Morrey-type spaces. Zbl 1207.42015
Burenkov, V. I.; Gogatishvili, A.; Guliyev, V. S.; Mustafayev, R. Ch.
2010
Description of interpolation spaces for local Morrey-type spaces. Zbl 1216.46019
Burenkov, V. I.; Nursultanov, E. D.
2010
Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type space. Zbl 1215.42019
Burenkov, V. I.; Guliyev, V. S.; Serbetci, A.; Tararykova, T. V.
2010
Stability estimates for resolvents, eigenvalues, and eigenfunctions of elliptic operators on variable domains. Zbl 1183.47040
Barbatis, Gerassimos; Burenkov, Victor I.; Lamberti, Pier Domenico
2010
Equivalent quasi-norms involving differences and moduli of continuity. Zbl 1207.46029
Burenkov, V. I.; Senouci, A.; Tararykova, T. V.
2010
Hardy-type inequality for $$0<p<1$$ and hypodecreasing functions. Zbl 1273.47057
Burenkov, V. I.; Senouci, A.; Tararykova, T. V.
2010
Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1171.42003
Burenkov, Victor I.; Guliyev, Vagif S.
2009
Spectral stability of higher order uniformly elliptic operators. Zbl 1219.35154
Burenkov, Victor; Lamberti, Pier Domenico
2009
Spectral stability of the $$p$$-Laplacian. Zbl 1169.35363
Burenkov, Victor I.; Lamberti, Pier Domenico
2009
Spectral stability of Dirichlet second order uniformly elliptic operators. Zbl 1153.35055
Burenkov, Victor I.; Lamberti, Pier Domenico
2008
Necessary and sufficient conditions for the boundedness of genuine singular integral operators in local Morrey-type spaces. Zbl 1184.42012
Burenkov, V. I.; Guliev, V. S.; Tararykova, T. V.; Serbetci, A.
2008
Spectral stability of the Robin Laplacian. Zbl 1233.35082
Burenkov, V. I.; Lanza De Cristoforis, M.
2008
Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces. Zbl 1134.46014
Burenkov, Viktor I.; Guliyev, Huseyn V.; Guliyev, Vagif S.
2007
On boundedness of the fractional maximal operator from complementary Morrey-type spaces to Morrey-type spaces. Zbl 1234.42006
Burenkov, V. I.; Guliyev, H. V.; Guliyev, V. S.
2007
Spectral stability of general non-negative selfadjoint operators with applications to Neumann-type operators. Zbl 1117.35058
Burenkov, Victor I.; Lamberti, Pier Domenico
2007
Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1327.31016
Burenkov, V. I.; Guliev, V. S.; Guliev, G. V.
2007
The interaction of analysis and geometry. International school-conference on analysis and geometry, Novosibirsk, Russia, August 23–September 3, 2004. Zbl 1109.00005
Burenkov, V. I.; Iwaniec, T.; Vodopyanov, S. K.
2007
On Hardy-Steklov and geometric Steklov operators. Zbl 1128.26011
Burenkov, V.; Jain, P.; Tararykova, T.
2007
Necessary and sufficient conditions for the boundedness of the fractional maximal operator in local Morrey-type spaces. Zbl 1135.42011
Burenkov, V. I.; Guliev, V. S.; Guliev, G. V.
2006
Spectral stability of elliptic selfadjoint differential operators with Dirichlet and Neumann boundary conditions. Zbl 1131.35048
Burenkov, Victor I.; Lamberti, Pier Domenico
2006
Spectral stability of nonnegative self-adjoint operators. Zbl 1219.35153
Burenkov, V. I.; Lamberti, P. D.
2005
Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces. Zbl 1044.42015
Burenkov, Viktor I.; Guliyev, Huseyn V.
2004
On integral inequalities involving differences. Zbl 1069.26014
Burenkov, V. I.; Senouci, A.
2004
Necessary and sufficient conditions for the boundedness of the maximal operator in local Morrey-type spaces. Zbl 1123.42301
Burenkov, V. I.; Guliev, G. V.
2003
On sharp constants in inequalities for the modulus of a derivative. Zbl 1076.26012
Burenkov, V. I.; Gusakov, V. A.
2003
Spectral stability of the Neumann Laplacian. Zbl 1042.35035
Burenkov, V. I.; Davies, E. B.
2002
Lower estimates of the norms of extension operators for Sobolev spaces on the halfline. Zbl 0986.46021
Burenkov, Victor I.; Kalyabin, Gennadiy A.
2000
Extension theorem for Sobolev spaces and spaces with generalized smoothness for degenerate open sets. Zbl 0962.46022
Burenkov, V. I.
2000
Extension theorems for Sobolev spaces. Zbl 0948.46026
Burenkov, Victor
1999
Extension theory for Sobolev spaces on open sets with Lipschitz boundaries. Zbl 0964.46014
Burenkov, Viktor I.
1999
Exact analogues of the Hardy inequality for differences in the case of related weights. Zbl 1033.26021
Burenkov, V. I.; Goldman, M. L.
1999
Second order Opial inequalities in $${\mathcal L}^p$$ spaces and applications. Zbl 0981.26018
Brown, Richard; Burenkov, Victor; Clark, Steve; Hinton, Don
1999
Hardy-type inequalities for moduli of continuity. Zbl 0978.46016
Burenkov, V. I.; Gol&rsquo;dman, M. L.
1999
Sobolev spaces on domains. Zbl 0893.46024
Burenkov, Victor I.
1998
On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms. Zbl 0917.47057
Burenkov, V. I.; Evans, W. D.
1998
Sharp multidimensional multiplicative inequalities for weighted $$L_p$$ spaces with homogeneous weights. Zbl 0910.26014
Barza, Sorina; Burenkov, Victor; Pečarić, Josip; Persson, Lars-Erik
1998
Weighted Hardy-type inequalities for differences and the extension problem for spaces with generalized smoothness. Zbl 0922.46033
Burenkov, V. I.; Evans, W. D.
1998
On weighted Hardy and Poincaré-type inequalities for differences. Zbl 0886.26013
Burenkov, V. I.; Evans, W. D.; Goldman, M. L.
1997
The weight Hardy inequality for differences and the complete continuity of the embedding of Sobolev spaces for domains with arbitrary strong degeneracy. Zbl 0978.46015
Burenkov, V. I.; Evans, V. D.
1997
Exact bounds for the minimum norm of extension operators for Sobolev spaces. Zbl 0889.46034
Burenkov, V. I.; Gorbunov, A. L.
1997
Calculation of the norm of a positive operator on the cone of monotone functions. Zbl 0908.47051
Burenkov, V. I.; Gol&rsquo;dman, M. L.
1995
Best constants in reversed Hardy’s inequalities for quasimonotone functions. Zbl 0805.26008
Bergh, Jöran; Burenkov, Victor; Persson, Lars Erik
1994
On some sharp reversed Hölder and Hardy type inequalities. Zbl 0829.26008
Bergh, Jöran; Burenkov, Victor; Persson, Lars Erik
1994
Estimates for constants in additivity inequalities for function spaces. Zbl 0863.46024
Burenkov, V. I.; Senusi, A.
1994
Conditional hypoellipticity and Fourier multipliers for weighted $$L_ p$$-spaces with an exponential weight. Zbl 0819.35026
Burenkov, Victor I.
1993
On precise constants in Sobolev imbedding theorems. III. Zbl 0852.46032
Burenkov, V. I.; Gusakov, V. A.
1993
On the best constant in Hardy’s inequality with $$0<p<1$$ for monotone functions. Zbl 0805.26009
Burenkov, V. I.
1992
Functional spaces. Basic integral inequalities connected with $$L_ p$$- spaces. Textbook. (Funktsional’nye prostranstva. Osnovnye integral’nye neravenstva, svyazannye s prostranstvami $$L_ p$$. Uchebnoe posobie.) Zbl 0749.46018
Burenkov, V. I.
1989
Approximation by infinitely differentiable functions with preservation of boundary values. Zbl 0709.41509
Burenkov, V. I.
1989
The theorem on repeated norms for Nikol’skij-Besov spaces and its application. Zbl 0688.41041
Burenkov, V. I.
1988
Estimates of regularized solutions of equations of convolution type in function spaces with noninteger order of differentiation. Zbl 0673.65029
Burenkov, V. I.; Dorofeev, I. F.; Pankratov, A. S.
1988
On precise constants in Sobolev imbedding theorems. Zbl 0662.46038
Burenkov, V. I.; Gusakov, V. A.
1987
Extension of functions with preservation of Sobolev seminorm. Zbl 0635.46028
Burenkov, V. I.
1987
On exact constants in inequalities for norms of intermediate derivatives on a finite interval. II. Zbl 0643.46023
Burenkov, V. I.
1986
Extension of functions with preservation of the Sobolev semi-norm. Zbl 0591.46023
Burenkov, V. I.
1985
On the interconnection of norms of operators in periodic and nonperiodic function spaces. Zbl 0557.46024
Burenkov, V. I.; Gol&rsquo;dman, M. L.
1984
On exact constants in inequalities for the norms of intermediate derivatives on a finite interval. Zbl 0519.46025
Burenkov, V. I.
1983
Mollifying operators with variable step and their application to approximation by infinitely differentiable functions. Zbl 0536.46021
Burenkov, V. I.
1982
On partitions of unity. Zbl 0476.46028
Burenkov, V. I.
1981
On exact constants in inequalities for the norms of intermediate derivatives on a finite interval. Zbl 0455.46023
Burenkov, V. I.
1980
On the extension of functions from $$L_p$$. Zbl 0417.46037
Burenkov, V. I.; Gol&rsquo;dman, M. L.
1979
On the extension of functions of anisotropic spaces with conservation of the class. Zbl 0417.46038
Burenkov, V. I.; Faĭn, B. L.
1979
On a method of extending differentiable functions. Zbl 0433.46031
Burenkov, V. I.
1976
On the extension of functions with preservation of seminorm. Zbl 0355.46014
Burenkov, V. I.
1976
On the extension of functions with preservation and with deterioration of the differential properties. Zbl 0351.46022
Burenkov, V. I.
1975
Sobolev’s integral representation and Taylor’s formula. Zbl 0313.46032
Burenkov, V. I.
1974
On the density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set. Zbl 0313.46033
Burenkov, V. I.
1974
On the approximation of functions in the space $$W^r_p(\Omega)$$ by functions with compact support for an arbitrary open set $$\Omega$$. Zbl 0322.46041
Burenkov, V. I.
1974
On approximation of functions in Sobolev spaces by finite functions on an arbitrary open set. Zbl 0253.46066
Burenkov, V. I.
1972
Über die Approximation von Funktionen aus dem Raum C$$^r(\Omega)$$ vermittels finiter Funktionen für eine beliebige offene Menge $$\Omega^*$$. Zbl 0262.41029
Burenkov, V. I.
1972
Imbedding and continuation for classes of differentiable functions of several variables defined in the whole space. Zbl 0185.20603
Burenkov, V. I.
1968
Über Einbettungssätze für das Gebiet $$R_ k =\{\alpha_ i h < x^{k_ i}_ i < \beta_ i h; 0 < h < 1\}$$. Zbl 0169.16002
Burenkov, V. I.
1968
Über die Additivität der Klassen $$W_ p^{(r)} (\Omega)$$. Zbl 0162.18002
Burenkov, V. I.
1967
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