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Krotov, Veniamin Grigor’evich

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Author ID: krotov.veniamin-grigorevich Recent zbMATH articles by "Krotov, Veniamin Grigor’evich"
Published as: Krotov, V. G.; Krotov, Veniamin G.
Further Spellings: Кротов Вениамин Григорьевич
External Links: MGP · ORCID · Math-Net.Ru
Documents Indexed: 69 Publications since 1973
Biographic References: 1 Publication
Co-Authors: 13 Co-Authors with 23 Joint Publications
58 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 147 times in 102 Documents Cited by Year
Direkte und inverse Sätze vom Jacksonschen Typ in \(L_p\)-Räumen, \(0<p<1\). Zbl 0314.41004
Storozhenko, Eh. A.; Krotov, V. G.; Osval’d, P.
18
1975
Representation of measurable functions by series in the Faber-Schauder system, and universal series. Zbl 0395.42010
Krotov, V. G.
16
1977
Criteria for compactness in \(L^{p}\)-spaces, \(p \geq 0\). Zbl 1271.46023
Krotov, V. G.
13
2012
Compactness of embeddings of Sobolev type on metric measure spaces. Zbl 1192.46029
Ivanishko, I. A.; Krotov, V. G.
8
2009
On universal Fourier series by the Faber-Schauder system. Zbl 0349.42014
Krotov, V. G.
8
1975
Direct and converse theorems of Jackson type in \(L^p\) spaces, \(0<p<1\). Zbl 0372.41004
Storozhenko, Eh. A.; Krotov, V. G.; Osval’d, P.
7
1977
Luzin’s correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system. Zbl 1263.42006
Grigoryan, M. G.; Krotov, V. G.
6
2013
On the strong summability of Fourier series and the classes \(H^\omega\). Zbl 0425.42005
Krotov, V. G.; Leindler, L.
5
1978
On the smoothness of universal Marcinkiewicz functions and universal trigonometric series. Zbl 0746.42005
Krotov, V. G.
5
1991
On the smoothness of universal Marcinkiewicz functions and universal trigonometrical series. Zbl 0786.42004
Krotov, V. G.
5
1991
Estimates of \(L^p\)-oscillations of functions for \(p>0\). Zbl 1319.42015
Krotov, V. G.; Porabkovich, A. I.
5
2015
Strong approximation by Fourier series and differentiability properties of functions. Zbl 0421.42002
Krotov, V. G.
4
1978
On the boundary behavior of functions of Hardy type spaces. Zbl 0713.46036
Krotov, V. G.
4
1990
Strong-type inequality for convolution with square root of the Poisson kernel. Zbl 1062.31004
Katkovskaya, I. N.; Krotov, V. G.
3
2004
The rate of convergence of Steklov means on metric measure spaces and Hausdorff dimension. Zbl 1243.42032
Krotov, V. G.; Prokhorovich, M. A.
3
2011
Unconditional convergence of Fourier series with respect to the Haar system in the spaces Lambda(p,omega). Zbl 0412.42015
Krotov, V. G.
3
1978
On differentiability of functions in \(L^ p\), \(0<p<1\). Zbl 0601.42020
Krotov, V. G.
3
1983
Differential properties of boundary functions of Hardy spaces. Zbl 0613.42018
Krotov, V. G.
3
1986
Fine properties of functions from Hajłasz-Sobolev classes \(M_\alpha^p\), \(p > 0\). I: Lebesgue points. Zbl 1458.46025
Bondarev, S. A.; Krotov, V. G.
3
2016
Quantitative form of the Luzin \(C\)-property. Zbl 1224.26011
Krotov, V. G.
2
2010
Note on the convergence of Fourier series in the spaces \(\Gamma^p_\infty\). Zbl 0441.42002
Krotov, V. G.
2
1979
Tangential boundary behavior of functions of several variables. Zbl 0977.32007
Krotov, V. G.
2
2000
The Luzin approximation of functions from classes \(W_\alpha ^p\) on metric spaces with measure. Zbl 1175.41030
Krotov, V. G.; Prokhorovich, M. A.
2
2008
Optimization methods of control processes with minimax criteria. II. Zbl 0282.49020
Krotov, V. G.
2
1974
Fine properties of functions from Hajłasz-Sobolev classes \(M_\alpha^p\), \(p > 0\). II: Lusin’s approximation. Zbl 1458.46026
Bondarev, S. A.; Krotov, V. G.
2
2017
Maximal functions measuring smoothness. Zbl 1272.42001
Krotov, Veniamin G.
2
2013
Quasiunconditional basis property of the Faber-Schauder system. Zbl 1435.42021
Grigoryan, G. M.; Krotov, V. G.
1
2019
On the tangential boundary behavior of potentials. Zbl 0952.31004
Katkovskaya, I. N.; Krotov, V. G.
1
2000
On the boundary behavior of fractional integrals of holomorphic functions in the unit ball in \({\mathbb{C}}^ N\). Zbl 0647.32007
Krotov, V. G.
1
1988
On differential properties on the boundary of functions holomorphic in the unit ball in \({\mathbb{C}}^ N\). Zbl 0667.32007
Krotov, V. G.
1
1989
On the boundary behaviour of fractional integrals of holomorphic functions on the unit ball of \({\mathbb{C}}^ N\). Zbl 0668.32008
Krotov, V. G.
1
1988
Unconditional basicity of the Haar system in the space \(\Lambda^ 1_\omega\). Zbl 0514.42032
Krotov, V. G.
1
1982
Universal series in Schauder systems. Zbl 0516.42034
Bakhshetsyan, A. V.; Krotov, V. G.
1
1981
An exact estimate of the boundary behavior of functions from Hardy-Sobolev classes in the critical case. Zbl 0933.32005
Krotov, V. G.
1
1997
On Haar series. Zbl 0255.42017
Krotov, V. G.
1
1973
Representation of measurable functions by series in the Faber-Schauder system and universal series. Zbl 0303.42014
Krotov, V. G.
1
1974
Estimates for the exceptional Lebesgue sets of functions from Sobolev classes. Zbl 1279.46021
Krotov, Veniamin G.; Prokhorovich, Mikhail A.
1
2013
Quasiunconditional basis property of the Faber-Schauder system. Zbl 1435.42021
Grigoryan, G. M.; Krotov, V. G.
1
2019
Fine properties of functions from Hajłasz-Sobolev classes \(M_\alpha^p\), \(p > 0\). II: Lusin’s approximation. Zbl 1458.46026
Bondarev, S. A.; Krotov, V. G.
2
2017
Fine properties of functions from Hajłasz-Sobolev classes \(M_\alpha^p\), \(p > 0\). I: Lebesgue points. Zbl 1458.46025
Bondarev, S. A.; Krotov, V. G.
3
2016
Estimates of \(L^p\)-oscillations of functions for \(p>0\). Zbl 1319.42015
Krotov, V. G.; Porabkovich, A. I.
5
2015
Luzin’s correction theorem and the coefficients of Fourier expansions in the Faber-Schauder system. Zbl 1263.42006
Grigoryan, M. G.; Krotov, V. G.
6
2013
Maximal functions measuring smoothness. Zbl 1272.42001
Krotov, Veniamin G.
2
2013
Estimates for the exceptional Lebesgue sets of functions from Sobolev classes. Zbl 1279.46021
Krotov, Veniamin G.; Prokhorovich, Mikhail A.
1
2013
Criteria for compactness in \(L^{p}\)-spaces, \(p \geq 0\). Zbl 1271.46023
Krotov, V. G.
13
2012
The rate of convergence of Steklov means on metric measure spaces and Hausdorff dimension. Zbl 1243.42032
Krotov, V. G.; Prokhorovich, M. A.
3
2011
Quantitative form of the Luzin \(C\)-property. Zbl 1224.26011
Krotov, V. G.
2
2010
Compactness of embeddings of Sobolev type on metric measure spaces. Zbl 1192.46029
Ivanishko, I. A.; Krotov, V. G.
8
2009
The Luzin approximation of functions from classes \(W_\alpha ^p\) on metric spaces with measure. Zbl 1175.41030
Krotov, V. G.; Prokhorovich, M. A.
2
2008
Strong-type inequality for convolution with square root of the Poisson kernel. Zbl 1062.31004
Katkovskaya, I. N.; Krotov, V. G.
3
2004
Tangential boundary behavior of functions of several variables. Zbl 0977.32007
Krotov, V. G.
2
2000
On the tangential boundary behavior of potentials. Zbl 0952.31004
Katkovskaya, I. N.; Krotov, V. G.
1
2000
An exact estimate of the boundary behavior of functions from Hardy-Sobolev classes in the critical case. Zbl 0933.32005
Krotov, V. G.
1
1997
On the smoothness of universal Marcinkiewicz functions and universal trigonometric series. Zbl 0746.42005
Krotov, V. G.
5
1991
On the smoothness of universal Marcinkiewicz functions and universal trigonometrical series. Zbl 0786.42004
Krotov, V. G.
5
1991
On the boundary behavior of functions of Hardy type spaces. Zbl 0713.46036
Krotov, V. G.
4
1990
On differential properties on the boundary of functions holomorphic in the unit ball in \({\mathbb{C}}^ N\). Zbl 0667.32007
Krotov, V. G.
1
1989
On the boundary behavior of fractional integrals of holomorphic functions in the unit ball in \({\mathbb{C}}^ N\). Zbl 0647.32007
Krotov, V. G.
1
1988
On the boundary behaviour of fractional integrals of holomorphic functions on the unit ball of \({\mathbb{C}}^ N\). Zbl 0668.32008
Krotov, V. G.
1
1988
Differential properties of boundary functions of Hardy spaces. Zbl 0613.42018
Krotov, V. G.
3
1986
On differentiability of functions in \(L^ p\), \(0<p<1\). Zbl 0601.42020
Krotov, V. G.
3
1983
Unconditional basicity of the Haar system in the space \(\Lambda^ 1_\omega\). Zbl 0514.42032
Krotov, V. G.
1
1982
Universal series in Schauder systems. Zbl 0516.42034
Bakhshetsyan, A. V.; Krotov, V. G.
1
1981
Note on the convergence of Fourier series in the spaces \(\Gamma^p_\infty\). Zbl 0441.42002
Krotov, V. G.
2
1979
On the strong summability of Fourier series and the classes \(H^\omega\). Zbl 0425.42005
Krotov, V. G.; Leindler, L.
5
1978
Strong approximation by Fourier series and differentiability properties of functions. Zbl 0421.42002
Krotov, V. G.
4
1978
Unconditional convergence of Fourier series with respect to the Haar system in the spaces Lambda(p,omega). Zbl 0412.42015
Krotov, V. G.
3
1978
Representation of measurable functions by series in the Faber-Schauder system, and universal series. Zbl 0395.42010
Krotov, V. G.
16
1977
Direct and converse theorems of Jackson type in \(L^p\) spaces, \(0<p<1\). Zbl 0372.41004
Storozhenko, Eh. A.; Krotov, V. G.; Osval&rsquo;d, P.
7
1977
Direkte und inverse Sätze vom Jacksonschen Typ in \(L_p\)-Räumen, \(0<p<1\). Zbl 0314.41004
Storozhenko, Eh. A.; Krotov, V. G.; Osval&rsquo;d, P.
18
1975
On universal Fourier series by the Faber-Schauder system. Zbl 0349.42014
Krotov, V. G.
8
1975
Optimization methods of control processes with minimax criteria. II. Zbl 0282.49020
Krotov, V. G.
2
1974
Representation of measurable functions by series in the Faber-Schauder system and universal series. Zbl 0303.42014
Krotov, V. G.
1
1974
On Haar series. Zbl 0255.42017
Krotov, V. G.
1
1973
all top 5

Cited by 83 Authors

17 Grigoryan, Martin Gevorgovich
14 Krotov, Veniamin Grigor’evich
10 Sargsyan, Artsrun A.
5 Kolomoitsev, Yurii S.
4 Górka, Przemysław
4 Pichugov, S. A.
4 Romanovskii, N. N.
3 Leindler, László
3 Prokhorovich, Mikhail Aleksandrovich
3 Shabozov, Mirgand Shabozovich
3 Sickel, Winfried
2 Bondarev, Sergeĭ Aleksandrovich
2 Borzì, Alfio
2 Galoyan, Levon N.
2 Heikkinen, Toni
2 Karagulyan, Grigori
2 Katkovskaya, I. N.
2 Khodak, L. B.
2 Langarshoev, Mukhtor Ramazonovich
2 Pekarskij, A. A.
2 Porabkovich, A. I.
2 Runovski, Konstantin Vsevolodovich
2 Safaryan, M. H.
2 Vakarchuk, Sergei Borisovich
2 Zabutnaya, Valentina I.
1 Aksenyushkina, Elena Vladimirovna
1 Antonik, Vladimir Georgevich
1 Avetisyan, Zhirayr G.
1 Baituyakova, Zhuldyz
1 Bandaliev, Rovshan Alifaga ogly
1 Björn, Jana
1 Boichuk, M. V.
1 Deckelman, Steven M.
1 Ditz, P.
1 Grigoryan, G. M.
1 Grigoryan, Tigran M.
1 Grosse-Erdmann, Karl-Goswin
1 Gubkina, Elena Vladimirovna
1 Guliyev, Vagif Sabir
1 Guo, Weichao
1 Ivanov, Valerĭ Ivanovich
1 Kadamshoev, N. U.
1 Kałamajska, Agnieszka
1 Kholshchevnikova, Natal’ya Nikolaevna
1 Khorazmshoev, Saiddzhobir Saidnasilloevich
1 Kobelyan, A. Kh.
1 Krasniqi, Xhevat Z.
1 Luo, Dejun
1 Maranjyan, A. A.
1 Melikbekyan, R. G.
1 Nalbandyan, M. A.
1 Navasardyan, Karen Arshaluĭsovich
1 Oswald, Peter
1 Pośpiech, Paweł
1 Prestin, Jurgen
1 Radyno, E. M.
1 Rafeiro, Humberto
1 Ruzhansky, Michael V.
1 Salomon, Julien
1 Sautbekova, Merey
1 Sawano, Yoshihiro
1 Schmeisser, Hans-Jürgen
1 Semënov, Evgeniĭ Mikhaĭlovich
1 Shmurygina, N. M.
1 Skvortsov, Valentin Anatol’evich
1 Słabuszewski, Artur
1 Smovzh, L. V.
1 Srochko, Vladimir Andreevich
1 Stepanov, Vladimir Dmitrievich
1 Stockdale, Cody B.
1 Tateoka, Jun
1 Tishin, P. M.
1 Totik, Vilmos
1 Tovstolis, Alexander V.
1 Tuominen, Heli
1 Uksusov, S. N.
1 Volkwein, Stefan
1 Wagner, Nathan A.
1 Wark, H. M.
1 Xu, Jingshi
1 Yudin, Vladimir A.
1 Yusupov, Gulzorkhon Amirshoevich
1 Zhao, Guoping
all top 5

Cited in 40 Serials

22 Mathematical Notes
11 Siberian Mathematical Journal
7 Analysis Mathematica
7 Ukrainian Mathematical Journal
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 Journal of Mathematical Sciences (New York)
4 Journal of Approximation Theory
3 Sbornik: Mathematics
2 Journal of Functional Analysis
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 The Journal of Geometric Analysis
2 Russian Mathematics
2 Positivity
2 Advances in Operator Theory
1 Computer Physics Communications
1 Journal of Mathematical Analysis and Applications
1 Moscow University Mathematics Bulletin
1 Studia Mathematica
1 Colloquium Mathematicum
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1 Acta Mathematica Hungarica
1 Constructive Approximation
1 Bulletin of the American Mathematical Society. New Series
1 Cybernetics and Systems Analysis
1 Izvestiya: Mathematics
1 Fractional Calculus & Applied Analysis
1 Mediterranean Journal of Mathematics
1 Stochastics
1 Chebyshevskiĭ Sbornik
1 Banach Journal of Mathematical Analysis
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Annals of Functional Analysis
1 Numerical Algebra, Control and Optimization
1 Carpathian Mathematical Publications
1 Proceedings of the Yerevan State University. Physical and Mathematical Sciences
1 Journal of Function Spaces

Citations by Year