×

Bochkarëv, Sergeĭ Viktorovich

Author ID: bochkarev.sergei-viktorovich Recent zbMATH articles by "Bochkarëv, Sergeĭ Viktorovich"
Published as: Bochkarev, S. V.; Bockarev, S. V.; Bochkariev, S. V.
Further Spellings: Бочкарёв Сергей Викторович
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 83 Publications since 1967
Biographic References: 1 Publication
Co-Authors: 26 Co-Authors with 3 Joint Publications
1,244 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 171 times in 107 Documents Cited by Year
Everywhere divergent Fourier series in the Walsh system and in multiplicative systems. Zbl 1052.42024
Bochkarev, S. V.
14
2003
A method of averaging in the theory of orthogonal series and some problems in the theory of bases. Zbl 0521.42023
Bochkarev, S. V.
14
1978
Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin’s system. Zbl 0343.46016
Bockarev, S. V.
11
1976
Absolute convergence of Fourier series with respect to complete orthonormal systems. Zbl 0249.42019
Bockarev, S. V.
8
1973
Some inequalities for Franklin series. Zbl 0338.42013
Bockarev, S. V.
7
1975
Construction of a dyadic interpolations basis in the space of continuous functions using Fejér kernels. Zbl 0699.46006
Bochkarev, S. V.
7
1985
Hausdorff-Young-Riesz theorem in Lorentz spaces and multiplicative inequalities. Zbl 0922.46024
Bochkarev, S. V.
7
1997
Über das Problem von Zygmund. Zbl 0273.42004
Bockarev, S. V.
6
1973
Vallée-Poussin series in the spaces BMO, \(L_1\), and \(H^1(D)\) and multiplier inequalities. Zbl 0905.42005
Bochkarev, S. V.
6
1995
Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system. Zbl 0172.35001
Bochkarev, S. V.
5
1968
Fourier coefficients of functions of class Lip *a* with respect to complete orthonormalized systems. Zbl 0202.35503
Bochkarev, S. V.
5
1970
Die absolute Konvergenz von Fourierreihen nach vollständigen Orthonormalsystemen. Zbl 0236.42014
Bockarev, S. V.
4
1972
Rearrangements of Fourier-Walsh series. Zbl 0444.42013
Bochkarev, S. V.
4
1980
On a problem of Zygmund. Zbl 0283.42010
Bockarev, S. V.
4
1974
Eine Fourierreihe für ein beliebiges beschränktes Orthonormalsystem, die auf einer Menge positiven Maßes divergiert. Zbl 0315.42011
Bockarev, S. V.
4
1975
Logarithmic growth of arithmetic means of Lebesgue functions of bounded orthonormal systems. Zbl 0325.42012
Bockarev, S. V.
4
1975
de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density. Zbl 1311.42011
Bochkarev, S. V.
4
2014
Unconditional bases. Zbl 0167.12901
Bochkarev, S. V.
3
1967
Series with respect to the Schauder system. Zbl 0174.10402
Bochkarev, S. V.
3
1969
On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions. Zbl 0303.42011
Bockarev, S. V.
3
1975
A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure. Zbl 0371.42010
Bockarev, S. V.
3
1977
On the problem of the smoothness of functions whose Fourier-Walsh series diverge almost everywhere. Zbl 1049.42014
Bochkarev, S. V.
3
2000
Multiplicative inequalities for the \(L_{1}\) norm: applications in analysis and number theory. Zbl 1329.42003
Bochkarev, S. V.
3
2006
A generalization of Kolmogorov’s theorem to biorthogonal systems. Zbl 1233.42003
Bochkarev, S. V.
3
2008
On a method of estimation of the \(L_1\)-norm of an exponential sum. Zbl 0962.11029
Bochkarev, S. V.
3
1997
On series in the Schauder system. Zbl 0169.08102
Bochkarev, S. V.
2
1968
On absolute convergence of Fourier series. Zbl 0244.42020
Bockarev, S. V.
2
1972
On a basis in the space of functions continuous in the closed disc and analytic inside it. Zbl 0313.46024
Bockarev, S. V.
2
1974
Construction of polynomial bases in finite-dimensional spaces of functions analytic in the disk. Zbl 0573.30040
Bochkarev, S. V.
2
1985
Kolmogorov’s abstract theorem: application to metric spaces and topological groups. Zbl 1328.43003
Bochkarev, S. V.
2
2015
Construction of polynomial bases in finite-dimensional spaces of functions analytic in a circle. Zbl 0556.30028
Bochkarev, S. V.
2
1983
Bases in function spaces and the Franklin system. Zbl 0789.42018
Bochkarev, S. V.
2
1989
An abstract Kolmogorov theorem, and an application to metric spaces and topological groups. Zbl 1406.43005
Bochkarev, S. V.
2
2018
Über Reihen nach dem Haarschen System. Zbl 0174.10401
Bochkarev, S. V.
1
1969
Über die Koeffizienten von Fourierreihen nach dem Haarschen System. Zbl 0181.07102
Bockarev, S. V.
1
1969
On the coefficients of Fourier series with respect to the Haar system. Zbl 0198.09802
Bochkarev, S. V.
1
1970
Die absolute Konvergenz von Fourierreihen nach vollständigen orthogonalen Funktionensystemen. Zbl 0218.42013
Bochkarev, S. V.
1
1971
New inequalities in the Littlewood-Paley theory and estimates of the \(L_1\) norm of trigonometric series and polynomials. Zbl 1133.42028
Bochkarev, S. V.
1
2005
A new method for estimating the integral norm of exponential sums: application to quadratic sums. Zbl 1259.42009
Bochkarev, S. V.
1
2002
Umordnungen Fourier-Walshscher Reihen. Zbl 0423.42017
Bochkarev, S. V.
1
1979
Averaging method in the theory of orthogonal series. Zbl 0452.42018
Bochkarev, S. V.
1
1980
Über die absolute Konvergenz von Fourierreihen nach einem beschränkten vollständigen orthonormierten Funktionensystem. Zbl 0285.42015
Bockarev, S. V.
1
1974
Über die absolute Konvergenz von Fourierreihen nach einem beschränkten System. Zbl 0302.42011
Bockarev, S. V.
1
1974
Absolute convergence of Fourier series with respect to bounded systems. Zbl 0304.42011
Bockarev, S. V.
1
1974
Inequalities for orthogonal series and a strengthening of the theorems of Carleman and Orlicz. Zbl 1046.42022
Bochkarev, S. V.
1
2000
Multiplicative inequalities for functions from the Hardy space \(H^1\) and their application to the estimation of exponential sums. Zbl 1068.42019
Bochkarev, S. V.
1
2003
Construction of a dyadic interpolation basis in the space of continuous functions on the basis of Fejér kernels. Zbl 0606.46009
Bochkarev, S. V.
1
1985
The conjugate Franklin system is a basis in the space of continuous functions. Zbl 0611.46016
Bochkarev, S. V.
1
1985
Estimation of the Fourier coefficients of functions from Lorentz spaces. Zbl 0981.42002
Bochkarev, S. V.
1
1998
De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra. Zbl 1250.42023
Bochkarev, S. V.
1
2011
An abstract Kolmogorov theorem, and an application to metric spaces and topological groups. Zbl 1406.43005
Bochkarev, S. V.
2
2018
Kolmogorov’s abstract theorem: application to metric spaces and topological groups. Zbl 1328.43003
Bochkarev, S. V.
2
2015
de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density. Zbl 1311.42011
Bochkarev, S. V.
4
2014
De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra. Zbl 1250.42023
Bochkarev, S. V.
1
2011
A generalization of Kolmogorov’s theorem to biorthogonal systems. Zbl 1233.42003
Bochkarev, S. V.
3
2008
Multiplicative inequalities for the \(L_{1}\) norm: applications in analysis and number theory. Zbl 1329.42003
Bochkarev, S. V.
3
2006
New inequalities in the Littlewood-Paley theory and estimates of the \(L_1\) norm of trigonometric series and polynomials. Zbl 1133.42028
Bochkarev, S. V.
1
2005
Everywhere divergent Fourier series in the Walsh system and in multiplicative systems. Zbl 1052.42024
Bochkarev, S. V.
14
2003
Multiplicative inequalities for functions from the Hardy space \(H^1\) and their application to the estimation of exponential sums. Zbl 1068.42019
Bochkarev, S. V.
1
2003
A new method for estimating the integral norm of exponential sums: application to quadratic sums. Zbl 1259.42009
Bochkarev, S. V.
1
2002
On the problem of the smoothness of functions whose Fourier-Walsh series diverge almost everywhere. Zbl 1049.42014
Bochkarev, S. V.
3
2000
Inequalities for orthogonal series and a strengthening of the theorems of Carleman and Orlicz. Zbl 1046.42022
Bochkarev, S. V.
1
2000
Estimation of the Fourier coefficients of functions from Lorentz spaces. Zbl 0981.42002
Bochkarev, S. V.
1
1998
Hausdorff-Young-Riesz theorem in Lorentz spaces and multiplicative inequalities. Zbl 0922.46024
Bochkarev, S. V.
7
1997
On a method of estimation of the \(L_1\)-norm of an exponential sum. Zbl 0962.11029
Bochkarev, S. V.
3
1997
Vallée-Poussin series in the spaces BMO, \(L_1\), and \(H^1(D)\) and multiplier inequalities. Zbl 0905.42005
Bochkarev, S. V.
6
1995
Bases in function spaces and the Franklin system. Zbl 0789.42018
Bochkarev, S. V.
2
1989
Construction of a dyadic interpolations basis in the space of continuous functions using Fejér kernels. Zbl 0699.46006
Bochkarev, S. V.
7
1985
Construction of polynomial bases in finite-dimensional spaces of functions analytic in the disk. Zbl 0573.30040
Bochkarev, S. V.
2
1985
Construction of a dyadic interpolation basis in the space of continuous functions on the basis of Fejér kernels. Zbl 0606.46009
Bochkarev, S. V.
1
1985
The conjugate Franklin system is a basis in the space of continuous functions. Zbl 0611.46016
Bochkarev, S. V.
1
1985
Construction of polynomial bases in finite-dimensional spaces of functions analytic in a circle. Zbl 0556.30028
Bochkarev, S. V.
2
1983
Rearrangements of Fourier-Walsh series. Zbl 0444.42013
Bochkarev, S. V.
4
1980
Averaging method in the theory of orthogonal series. Zbl 0452.42018
Bochkarev, S. V.
1
1980
Umordnungen Fourier-Walshscher Reihen. Zbl 0423.42017
Bochkarev, S. V.
1
1979
A method of averaging in the theory of orthogonal series and some problems in the theory of bases. Zbl 0521.42023
Bochkarev, S. V.
14
1978
A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure. Zbl 0371.42010
Bockarev, S. V.
3
1977
Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin’s system. Zbl 0343.46016
Bockarev, S. V.
11
1976
Some inequalities for Franklin series. Zbl 0338.42013
Bockarev, S. V.
7
1975
Eine Fourierreihe für ein beliebiges beschränktes Orthonormalsystem, die auf einer Menge positiven Maßes divergiert. Zbl 0315.42011
Bockarev, S. V.
4
1975
Logarithmic growth of arithmetic means of Lebesgue functions of bounded orthonormal systems. Zbl 0325.42012
Bockarev, S. V.
4
1975
On the absolute convergence of Fourier series in bounded complete orthonormal systems of functions. Zbl 0303.42011
Bockarev, S. V.
3
1975
On a problem of Zygmund. Zbl 0283.42010
Bockarev, S. V.
4
1974
On a basis in the space of functions continuous in the closed disc and analytic inside it. Zbl 0313.46024
Bockarev, S. V.
2
1974
Über die absolute Konvergenz von Fourierreihen nach einem beschränkten vollständigen orthonormierten Funktionensystem. Zbl 0285.42015
Bockarev, S. V.
1
1974
Über die absolute Konvergenz von Fourierreihen nach einem beschränkten System. Zbl 0302.42011
Bockarev, S. V.
1
1974
Absolute convergence of Fourier series with respect to bounded systems. Zbl 0304.42011
Bockarev, S. V.
1
1974
Absolute convergence of Fourier series with respect to complete orthonormal systems. Zbl 0249.42019
Bockarev, S. V.
8
1973
Über das Problem von Zygmund. Zbl 0273.42004
Bockarev, S. V.
6
1973
Die absolute Konvergenz von Fourierreihen nach vollständigen Orthonormalsystemen. Zbl 0236.42014
Bockarev, S. V.
4
1972
On absolute convergence of Fourier series. Zbl 0244.42020
Bockarev, S. V.
2
1972
Die absolute Konvergenz von Fourierreihen nach vollständigen orthogonalen Funktionensystemen. Zbl 0218.42013
Bochkarev, S. V.
1
1971
Fourier coefficients of functions of class Lip *a* with respect to complete orthonormalized systems. Zbl 0202.35503
Bochkarev, S. V.
5
1970
On the coefficients of Fourier series with respect to the Haar system. Zbl 0198.09802
Bochkarev, S. V.
1
1970
Series with respect to the Schauder system. Zbl 0174.10402
Bochkarev, S. V.
3
1969
Über Reihen nach dem Haarschen System. Zbl 0174.10401
Bochkarev, S. V.
1
1969
Über die Koeffizienten von Fourierreihen nach dem Haarschen System. Zbl 0181.07102
Bockarev, S. V.
1
1969
Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system. Zbl 0172.35001
Bochkarev, S. V.
5
1968
On series in the Schauder system. Zbl 0169.08102
Bochkarev, S. V.
2
1968
Unconditional bases. Zbl 0167.12901
Bochkarev, S. V.
3
1967
all top 5

Cited by 97 Authors

10 Bochkarëv, Sergeĭ Viktorovich
9 Tsagareĭshvili, Vakhtang Shalvivich
6 Gevorkyan, Gegham G.
6 Goginava, Ushangi
5 Gogoladze, Leri Davidovich
4 Karagulyan, Grigori
4 Liflyand, Elijah
4 Persson, Lars-Erik
3 Akishev, Gabdolla Akishevich
3 Gát, György
3 Kashin, Boris Sergeevich
3 Keryan, Karen A.
2 Bourgain, Jean
2 Lusky, Wolfgang
2 Meleshkina, A. V.
2 Mikayelyan, Vazgen Gagik
2 Polyakov, I. V.
2 Privalov, Al. A.
2 Trigub, Roal’d Mikhaĭlovich
2 Tselishchev, Anton
2 Tutberidze, Giorgi
2 Vasilyev, Ioann
2 Weisz, Ferenc
2 Wojtaszczyk, Przemyslaw
1 Ageĭkin, Artem Aleksandrovich
1 Aistleitner, Christoph
1 Ardalani, Mohammad Ali
1 Aubakirov, T. U.
1 Balashov, Leonid Alekseevich
1 Bárcenas, Diómedes
1 Bishop, Christopher James
1 Bokaev, N. A.
1 Brudnyi, Alexander
1 Cagareishvili, Giorgi
1 Chang, Sun-Yung Alice
1 Dodunova, Lyudmila Kuz’minichna
1 Dominguez, Oscar
1 Fefferman, Robert A.
1 Filippov, Vadim Ivanovich
1 Finet, Catherine
1 Fournier, John J. F.
1 Garaev, Moubariz Z.
1 Garrigós, Gustavo
1 Getsadze, Rostom D.
1 Golubov, Boris Ivanovich
1 Goryachev, A. P.
1 Grigoryan, Martin Gevorgovich
1 Gulisashvili, Archil
1 Hibschweiler, Rita A.
1 Ivanov, Ivan V.
1 Kamont, Anna
1 Kashin, S. V.
1 Konyagin, B. S.
1 Konyagin, Sergeĭ Vladimirovich
1 Kopaliani, Tengiz
1 Korolëv, Maksim Aleksandrovich
1 Kyriazis, George C.
1 Leal, Bladismir
1 Leiva, Hugo
1 Ludkovsky, Sergey Victor
1 Lukashenko, Taras P.
1 Lukkassen, Dag
1 Mussabayeva, Guliya K.
1 Nordgren, Eric A.
1 Oehring, Charles
1 Ol’mezov, Konstantin I.
1 Petrushev, Pencho P.
1 Rubinstein, Aleksandr Iosifovich
1 Saburova, T. N.
1 Samashvili, Nino
1 Samko, Stefan Grigor’evich
1 Sargsyan, Artsrun A.
1 Schipp, Ferenc
1 Seeger, Andreas
1 Seger, A.
1 Shekhtman, Boris
1 Shvedenko, S. V.
1 Singh, Harpal
1 Słota, Damian
1 Solodov, Alekseĭ Petrovich
1 Suragan, Durvudkhan
1 Szarek, Stanislaw Jerzy
1 Temlyakov, Vladimir Nikolaevich
1 Tephnadze, George
1 Tikhonov, Sergey Yur’evich
1 Tineo Moya, Ambrosio
1 Tkebuchava, Georg E.
1 Tleukhanova, Nazerke Tulekovna
1 Trebels, Walter
1 Tsagareishvili, G.
1 Twomey, John Brian
1 Ullrich, Tino
1 Ul’yanov, Pëtr Lavrent’evich
1 Veraar, Mark C.
1 Wituła, Roman
1 Woźniakowski, Krzysztof
1 Zviadadze, Shalva
all top 5

Cited in 41 Serials

26 Mathematical Notes
9 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
7 Journal of Mathematical Analysis and Applications
5 Journal of Soviet Mathematics
5 Proceedings of the Steklov Institute of Mathematics
4 Journal of Mathematical Sciences (New York)
3 Arkiv för Matematik
3 Siberian Mathematical Journal
2 Analysis Mathematica
2 Israel Journal of Mathematics
2 Rocky Mountain Journal of Mathematics
2 Russian Mathematical Surveys
2 Journal of Functional Analysis
2 Mathematische Zeitschrift
2 Acta Mathematica Hungarica
2 Georgian Mathematical Journal
2 Sbornik: Mathematics
2 The Journal of Fourier Analysis and Applications
2 Doklady Mathematics
2 Journal of Inequalities and Applications
1 Journal d’Analyse Mathématique
1 Acta Mathematica
1 Archiv der Mathematik
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Transactions of the American Mathematical Society
1 Zeitschrift für Analysis und ihre Anwendungen
1 Constructive Approximation
1 Bulletin of the American Mathematical Society. New Series
1 Advances in Applied Clifford Algebras
1 Izvestiya: Mathematics
1 Mathematical Inequalities & Applications
1 Acta Mathematica Sinica. English Series
1 Eurasian Mathematical Journal
1 Analysis and Mathematical Physics
1 Arabian Journal of Mathematics
1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 Constructive Mathematical Analysis

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.