Edit Profile (opens in new tab) Bochkarëv, Sergeĭ Viktorovich Compute Distance To: Compute Author ID: bochkarev.sergei-viktorovich Published as: Bochkarev, S. V.; Bockarev, S. V.; Bochkariev, S. V. more...less 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 1,192 Co-Co-Authors all top 5 Co-Authors 80 single-authored 3 Besov, Oleg Vladimirovich 3 Telyakovskiĭ, Sergeĭ Aleksandrovich 2 Il’in, Vladimir Aleksandrovich 2 Kashin, Boris Sergeevich 2 Konyagin, Sergeĭ Vladimirovich 2 Kozlov, Valeriĭ Vasil’evich 2 Osipov, Yuriĭ Sergeevich 2 Pokhozhaev, Stanislav I. 2 Sadovnichiĭ, Viktor Antonovich 2 Volkov, Evgeniĭ Alekseevich 1 D’yachenko, Mikhaĭl Ivanovich 1 Dzyadyk, Vladyslav Kyrylovych 1 Glubov, B. I. 1 Gonchar, Andreĭ Aleksandrovich 1 Korneĭchuk, Nikolaĭ Pavlovich 1 Kudryavtsev, Lev Dmitrievich 1 Kudryavtsev, N. N. 1 Malykhin, Yuriĭ Vyacheslavovich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Oleĭnik, Ol’ga Arsen’evna 1 Potapov, Mikhaĭl Konstantinovich 1 Sergeev, Armen Glebovich 1 Stechkin, Sergeĭ Borisovich 1 Temlyakov, Vladimir Nikolaevich 1 Ul’yanov, Pëtr Lavrent’evich 1 Vladimirov, Vasiliĭ Sergeevich all top 5 Serials 10 Soviet Mathematics. Doklady 10 Doklady Mathematics 6 Russian Mathematical Surveys 6 Proceedings of the Steklov Institute of Mathematics 5 Mathematical Notes 5 Matematicheskie Zametki 5 Mathematics of the USSR, Sbornik 4 Matematicheskiĭ Sbornik. Novaya Seriya 3 Mathematics of the USSR. Izvestiya 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Uspekhi Matematicheskikh Nauk [N. S.] 2 Russian Academy of Sciences. Doklady. Mathematics 1 Analysis Mathematica 1 Colloquium Mathematicum 1 Siberian Mathematical Journal 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society all top 5 Fields 61 Harmonic analysis on Euclidean spaces (42-XX) 20 Functional analysis (46-XX) 5 Functions of a complex variable (30-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Abstract harmonic analysis (43-XX) 2 Approximations and expansions (41-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 107 times in 83 Documents Cited by ▼ Year ▼ Everywhere divergent Fourier series in the Walsh system and in multiplicative systems. Zbl 1052.42024Bochkarev, S. V. 10 2003 Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin’s system. Zbl 0343.46016Bockarev, S. V. 8 1976 A method of averaging in the theory of orthogonal series and some problems in the theory of bases. Zbl 0521.42023Bochkarev, S. V. 7 1978 Some inequalities for Franklin series. Zbl 0338.42013Bockarev, S. V. 7 1975 Hausdorff-Young-Riesz theorem in Lorentz spaces and multiplicative inequalities. Zbl 0922.46024Bochkarev, S. V. 6 1997 Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system. Zbl 0172.35001Bochkarev, S. V. 5 1968 Construction of a dyadic interpolations basis in the space of continuous functions using Fejér kernels. Zbl 0699.46006Bochkarev, S. V. 5 1985 Über das Problem von Zygmund. Zbl 0273.42004Bockarev, S. V. 5 1973 Fourier coefficients of functions of class Lip *a* with respect to complete orthonormalized systems. Zbl 0202.35503Bochkarev, S. V. 4 1970 Multiplicative inequalities for the \(L_{1}\) norm: applications in analysis and number theory. Zbl 1329.42003Bochkarev, S. V. 3 2006 Absolute convergence of Fourier series with respect to complete orthonormal systems. Zbl 0249.42019Bockarev, S. V. 3 1973 Unconditional bases. Zbl 0167.12901Bochkarev, S. V. 3 1967 Series with respect to the Schauder system. Zbl 0174.10402Bochkarev, S. V. 3 1969 Vallée-Poussin series in the spaces BMO, \(L_1\), and \(H^1(D)\) and multiplier inequalities. Zbl 0905.42005Bochkarev, S. V. 3 1995 Rearrangements of Fourier-Walsh series. Zbl 0444.42013Bochkarev, S. V. 3 1980 Construction of polynomial bases in finite-dimensional spaces of functions analytic in the disk. Zbl 0573.30040Bochkarev, S. V. 2 1985 On absolute convergence of Fourier series. Zbl 0244.42020Bockarev, S. V. 2 1972 On series in the Schauder system. Zbl 0169.08102Bochkarev, S. V. 2 1968 Bases in function spaces and the Franklin system. Zbl 0789.42018Bochkarev, S. V. 2 1989 On a method of estimation of the \(L_1\)-norm of an exponential sum. Zbl 0962.11029Bochkarev, S. V. 2 1997 On a basis in the space of functions continuous in the closed disc and analytic inside it. Zbl 0313.46024Bockarev, S. V. 2 1974 Construction of polynomial bases in finite-dimensional spaces of functions analytic in a circle. Zbl 0556.30028Bochkarev, S. V. 1 1983 Estimation of the Fourier coefficients of functions from Lorentz spaces. Zbl 0981.42002Bochkarev, S. V. 1 1998 An abstract Kolmogorov theorem, and an application to metric spaces and topological groups. Zbl 1406.43005Bochkarev, S. V. 1 2018 A new method for estimating the integral norm of exponential sums: application to quadratic sums. Zbl 1259.42009Bochkarev, S. V. 1 2002 De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra. Zbl 1250.42023Bochkarev, S. V. 1 2011 A generalization of Kolmogorov’s theorem to biorthogonal systems. Zbl 1233.42003Bochkarev, S. V. 1 2008 Über Reihen nach dem Haarschen System. Zbl 0174.10401Bochkarev, S. V. 1 1969 On the coefficients of Fourier series with respect to the Haar system. Zbl 0198.09802Bochkarev, S. V. 1 1970 Die absolute Konvergenz von Fourierreihen nach vollständigen orthogonalen Funktionensystemen. Zbl 0218.42013Bochkarev, S. V. 1 1971 de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density. Zbl 1311.42011Bochkarev, S. V. 1 2014 Die absolute Konvergenz von Fourierreihen nach vollständigen Orthonormalsystemen. Zbl 0236.42014Bockarev, S. V. 1 1972 Multiplicative inequalities for functions from the Hardy space \(H^1\) and their application to the estimation of exponential sums. Zbl 1068.42019Bochkarev, S. V. 1 2003 New inequalities in the Littlewood-Paley theory and estimates of the \(L_1\) norm of trigonometric series and polynomials. Zbl 1133.42028Bochkarev, S. V. 1 2005 A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure. Zbl 0371.42010Bockarev, S. V. 1 1977 Construction of a dyadic interpolation basis in the space of continuous functions on the basis of Fejér kernels. Zbl 0606.46009Bochkarev, S. V. 1 1985 The conjugate Franklin system is a basis in the space of continuous functions. Zbl 0611.46016Bochkarev, S. V. 1 1985 On the problem of the smoothness of functions whose Fourier-Walsh series diverge almost everywhere. Zbl 1049.42014Bochkarev, S. V. 1 2000 Logarithmic growth of arithmetic means of Lebesgue functions of bounded orthonormal systems. Zbl 0325.42012Bockarev, S. V. 1 1975 On a problem of Zygmund. Zbl 0283.42010Bockarev, S. V. 1 1974 Über die absolute Konvergenz von Fourierreihen nach einem beschränkten System. Zbl 0302.42011Bockarev, S. V. 1 1974 An abstract Kolmogorov theorem, and an application to metric spaces and topological groups. Zbl 1406.43005Bochkarev, S. V. 1 2018 de la Vallée-Poussin means of Fourier series for the quadratic spectrum and for spectra with power-like density. Zbl 1311.42011Bochkarev, S. V. 1 2014 De la Vallée-Poussin means of Fourier series for quadratic spectrum and power density spectra. Zbl 1250.42023Bochkarev, S. V. 1 2011 A generalization of Kolmogorov’s theorem to biorthogonal systems. Zbl 1233.42003Bochkarev, S. V. 1 2008 Multiplicative inequalities for the \(L_{1}\) norm: applications in analysis and number theory. Zbl 1329.42003Bochkarev, S. V. 3 2006 New inequalities in the Littlewood-Paley theory and estimates of the \(L_1\) norm of trigonometric series and polynomials. Zbl 1133.42028Bochkarev, S. V. 1 2005 Everywhere divergent Fourier series in the Walsh system and in multiplicative systems. Zbl 1052.42024Bochkarev, S. V. 10 2003 Multiplicative inequalities for functions from the Hardy space \(H^1\) and their application to the estimation of exponential sums. Zbl 1068.42019Bochkarev, S. V. 1 2003 A new method for estimating the integral norm of exponential sums: application to quadratic sums. Zbl 1259.42009Bochkarev, S. V. 1 2002 On the problem of the smoothness of functions whose Fourier-Walsh series diverge almost everywhere. Zbl 1049.42014Bochkarev, S. V. 1 2000 Estimation of the Fourier coefficients of functions from Lorentz spaces. Zbl 0981.42002Bochkarev, S. V. 1 1998 Hausdorff-Young-Riesz theorem in Lorentz spaces and multiplicative inequalities. Zbl 0922.46024Bochkarev, S. V. 6 1997 On a method of estimation of the \(L_1\)-norm of an exponential sum. Zbl 0962.11029Bochkarev, S. V. 2 1997 Vallée-Poussin series in the spaces BMO, \(L_1\), and \(H^1(D)\) and multiplier inequalities. Zbl 0905.42005Bochkarev, S. V. 3 1995 Bases in function spaces and the Franklin system. Zbl 0789.42018Bochkarev, S. V. 2 1989 Construction of a dyadic interpolations basis in the space of continuous functions using Fejér kernels. Zbl 0699.46006Bochkarev, S. V. 5 1985 Construction of polynomial bases in finite-dimensional spaces of functions analytic in the disk. Zbl 0573.30040Bochkarev, S. V. 2 1985 Construction of a dyadic interpolation basis in the space of continuous functions on the basis of Fejér kernels. Zbl 0606.46009Bochkarev, S. V. 1 1985 The conjugate Franklin system is a basis in the space of continuous functions. Zbl 0611.46016Bochkarev, S. V. 1 1985 Construction of polynomial bases in finite-dimensional spaces of functions analytic in a circle. Zbl 0556.30028Bochkarev, S. V. 1 1983 Rearrangements of Fourier-Walsh series. Zbl 0444.42013Bochkarev, S. V. 3 1980 A method of averaging in the theory of orthogonal series and some problems in the theory of bases. Zbl 0521.42023Bochkarev, S. V. 7 1978 A Fourier series in an arbitrary bounded orthonormal system that diverges on a set of positive measure. Zbl 0371.42010Bockarev, S. V. 1 1977 Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin’s system. Zbl 0343.46016Bockarev, S. V. 8 1976 Some inequalities for Franklin series. Zbl 0338.42013Bockarev, S. V. 7 1975 Logarithmic growth of arithmetic means of Lebesgue functions of bounded orthonormal systems. Zbl 0325.42012Bockarev, S. V. 1 1975 On a basis in the space of functions continuous in the closed disc and analytic inside it. Zbl 0313.46024Bockarev, S. V. 2 1974 On a problem of Zygmund. Zbl 0283.42010Bockarev, S. V. 1 1974 Über die absolute Konvergenz von Fourierreihen nach einem beschränkten System. Zbl 0302.42011Bockarev, S. V. 1 1974 Über das Problem von Zygmund. Zbl 0273.42004Bockarev, S. V. 5 1973 Absolute convergence of Fourier series with respect to complete orthonormal systems. Zbl 0249.42019Bockarev, S. V. 3 1973 On absolute convergence of Fourier series. Zbl 0244.42020Bockarev, S. V. 2 1972 Die absolute Konvergenz von Fourierreihen nach vollständigen Orthonormalsystemen. Zbl 0236.42014Bockarev, S. V. 1 1972 Die absolute Konvergenz von Fourierreihen nach vollständigen orthogonalen Funktionensystemen. Zbl 0218.42013Bochkarev, S. V. 1 1971 Fourier coefficients of functions of class Lip *a* with respect to complete orthonormalized systems. Zbl 0202.35503Bochkarev, S. V. 4 1970 On the coefficients of Fourier series with respect to the Haar system. Zbl 0198.09802Bochkarev, S. V. 1 1970 Series with respect to the Schauder system. Zbl 0174.10402Bochkarev, S. V. 3 1969 Über Reihen nach dem Haarschen System. Zbl 0174.10401Bochkarev, S. V. 1 1969 Unconditional convergence almost everywhere of Fourier series of continuous functions in the Haar system. Zbl 0172.35001Bochkarev, S. V. 5 1968 On series in the Schauder system. Zbl 0169.08102Bochkarev, S. V. 2 1968 Unconditional bases. Zbl 0167.12901Bochkarev, S. V. 3 1967 all cited Publications top 5 cited Publications all top 5 Cited by 79 Authors 9 Bochkarëv, Sergeĭ Viktorovich 6 Gevorkyan, Gegham G. 5 Goginava, Ushangi 4 Karagulyan, Grigori 4 Tsagareĭshvili, Vakhtang Shalvivich 3 Gát, György 3 Keryan, Karen A. 3 Liflyand, Elijah 3 Persson, Lars-Erik 2 Akishev, Gabdolla Akishevich 2 Bourgain, Jean 2 Lusky, Wolfgang 2 Mikayelyan, Vazgen Gagik 2 Polyakov, I. V. 2 Privalov, Al. A. 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 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 Gogoladze, Leri Davidovich 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, Boris Sergeevich 1 Konyagin, Sergeĭ Vladimirovich 1 Kopaliani, Tengiz 1 Kyriazis, George C. 1 Leal, Bladismir 1 Leiva, Hugo 1 Ludkovsky, Sergey Victor 1 Lukashenko, Taras P. 1 Lukkassen, Dag 1 Meleshkina, A. V. 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 Schipp 1 Shekhtman, Boris 1 Shvedenko, S. V. 1 Singh, Harpal 1 Słota, Damian 1 Solodov, Alekseĭ Petrovich 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 Trigub, Roal’d Mikhaĭlovich 1 Twomey, John Brian 1 Ul’yanov, Pëtr Lavrent’evich 1 Veraar, Mark C. 1 Weisz, Ferenc 1 Wituła, Roman 1 Zviadadze, Shalva all top 5 Cited in 36 Serials 23 Mathematical Notes 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Journal of Mathematical Analysis and Applications 5 Journal of Soviet Mathematics 4 Journal of Mathematical Sciences (New York) 3 Siberian Mathematical Journal 3 Proceedings of the Steklov Institute of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Mathematische Zeitschrift 2 Doklady Mathematics 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Acta Mathematica 1 Archiv der Mathematik 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 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 Acta Mathematica Hungarica 1 Bulletin of the American Mathematical Society. New Series 1 Georgian Mathematical Journal 1 Advances in Applied Clifford Algebras 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Journal of Inequalities and 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 all top 5 Cited in 16 Fields 64 Harmonic analysis on Euclidean spaces (42-XX) 26 Functional analysis (46-XX) 7 Functions of a complex variable (30-XX) 7 Operator theory (47-XX) 5 Number theory (11-XX) 4 Real functions (26-XX) 4 Sequences, series, summability (40-XX) 3 Abstract harmonic analysis (43-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Approximations and expansions (41-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.