Edit Profile (opens in new tab) Parfënov, O. G. Co-Author Distance Author ID: parfenov.o-g Published as: Parfenov, O. G.; Parfënov, O. G. Documents Indexed: 51 Publications since 1978 Co-Authors: 2 Co-Authors with 2 Joint Publications 36 Co-Co-Authors Co-Authors 49 single-authored 1 Osipenko, Konstantin Yur’evich 1 Slupko, M. V. all top 5 Serials 8 Mathematical Notes 5 Functional Analysis and its Applications 5 Journal of Mathematical Sciences (New York) 4 Mathematics of the USSR, Sbornik 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Vestnik St. Petersburg University. Mathematics 2 Funktsional’nyĭ Analiz i ego Prilozheniya 2 Journal of Soviet Mathematics 2 Sbornik: Mathematics 2 Problemy Matematicheskogo Analiza 1 Matematicheskie Zametki 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Mathematische Nachrichten 1 Soviet Mathematics 1 Selecta Mathematica Sovietica 1 Journal of Complexity 1 Algebra i Analiz 1 Russian Mathematics 1 Russian Academy of Sciences. Sbornik. Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 St. Petersburg Mathematical Journal 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 28 Operator theory (47-XX) 26 Functional analysis (46-XX) 20 Functions of a complex variable (30-XX) 16 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 58 times in 52 Documents Cited by ▼ Year ▼ Estimates of the singular numbers of the Carleson imbedding operator. Zbl 0665.47019 Parfenov, O. G. 12 1988 Ismagilov type theorems for linear, Gel’fand and Bernstein \(n\)-widths. Zbl 0848.41018 Osipenko, K. Yu.; Parfenov, O. G. 7 1995 Diameters of a certain class of analytic functions. Zbl 0488.30027 Parfenov, O. G. 6 1982 Asymptotics of singular numbers of imbedding operators for certain classes of analytic functions. Zbl 0492.47026 Parfenov, O. G. 5 1982 Asymptotics of singular numbers of imbedding operators of some classes of analytic functions. Zbl 0473.47041 Parfenov, O. G. 4 1981 Asymptotic behavior of the Gelfand and the Bernstein widths of some classes of analytic functions. Zbl 0880.46040 Parfenov, O. G. 3 1996 Widths of a class of analytic functions. Zbl 0509.30024 Parfenov, O. G. 2 1983 Bernstein widths of embeddings of Lebesgue spaces. Zbl 0961.46026 Parfenov, O. G.; Slupko, M. V. 2 1997 Gel’fand widths of the unit ball of the Hardy class \(H^ p\) in weight spaces. Zbl 0592.46050 Parfenov, O. G. 2 1985 Properties of imbedding operators of some classes of analytic functions. Zbl 0755.47016 Parfenov, O. G. 2 1991 The Gel’fand and Bernstein \(n\)-widths of some classes of analytic functions. Zbl 0907.46017 Parfenov, O. G. 2 1994 Estimates of singular values of integral operators with analytic kernels. Zbl 0417.47023 Parfenov, O. G. 2 1979 Singular numbers of the imbedding operators for certain classes of analytic and harmonic functions. Zbl 0628.30050 Parfenov, O. G. 1 1986 Nuclearity of imbedding operators of some classes of analytic functions in weighted spaces. Zbl 0673.46015 Parfenov, O. G. 1 1988 Asymptotics of the diameters of some classes of analytic functions. Zbl 0478.30027 Parfenov, O. G. 1 1981 Asymptotic behavior of the diameters of certain classes of analytic functions. Zbl 0483.30018 Parfenov, O. G. 1 1982 Estimates of singular values of integral operators with decomposable kernels. Zbl 0831.47040 Parfenov, O. G. 1 1993 Weighted estimates of the Fourier transformation. Zbl 0909.42003 Parfenov, O. G. 1 1995 Estimates of the singular numbers of Hankel operators. Zbl 0756.47028 Parfenov, O. G. 1 1991 Criteria of nuclearity of embedding operators acting between Bergman spaces and weighted Lebesgue spaces. Zbl 0761.47009 Parfenov, O. G. 1 1991 Estimates of singular values of integral operators with analytic kernels. Zbl 0820.47055 Parfenov, O. G. 1 1992 Bernstein widths of embeddings of Lebesgue spaces. Zbl 0961.46026 Parfenov, O. G.; Slupko, M. V. 2 1997 Asymptotic behavior of the Gelfand and the Bernstein widths of some classes of analytic functions. Zbl 0880.46040 Parfenov, O. G. 3 1996 Ismagilov type theorems for linear, Gel’fand and Bernstein \(n\)-widths. Zbl 0848.41018 Osipenko, K. Yu.; Parfenov, O. G. 7 1995 Weighted estimates of the Fourier transformation. Zbl 0909.42003 Parfenov, O. G. 1 1995 The Gel’fand and Bernstein \(n\)-widths of some classes of analytic functions. Zbl 0907.46017 Parfenov, O. G. 2 1994 Estimates of singular values of integral operators with decomposable kernels. Zbl 0831.47040 Parfenov, O. G. 1 1993 Estimates of singular values of integral operators with analytic kernels. Zbl 0820.47055 Parfenov, O. G. 1 1992 Properties of imbedding operators of some classes of analytic functions. Zbl 0755.47016 Parfenov, O. G. 2 1991 Estimates of the singular numbers of Hankel operators. Zbl 0756.47028 Parfenov, O. G. 1 1991 Criteria of nuclearity of embedding operators acting between Bergman spaces and weighted Lebesgue spaces. Zbl 0761.47009 Parfenov, O. G. 1 1991 Estimates of the singular numbers of the Carleson imbedding operator. Zbl 0665.47019 Parfenov, O. G. 12 1988 Nuclearity of imbedding operators of some classes of analytic functions in weighted spaces. Zbl 0673.46015 Parfenov, O. G. 1 1988 Singular numbers of the imbedding operators for certain classes of analytic and harmonic functions. Zbl 0628.30050 Parfenov, O. G. 1 1986 Gel’fand widths of the unit ball of the Hardy class \(H^ p\) in weight spaces. Zbl 0592.46050 Parfenov, O. G. 2 1985 Widths of a class of analytic functions. Zbl 0509.30024 Parfenov, O. G. 2 1983 Diameters of a certain class of analytic functions. Zbl 0488.30027 Parfenov, O. G. 6 1982 Asymptotics of singular numbers of imbedding operators for certain classes of analytic functions. Zbl 0492.47026 Parfenov, O. G. 5 1982 Asymptotic behavior of the diameters of certain classes of analytic functions. Zbl 0483.30018 Parfenov, O. G. 1 1982 Asymptotics of singular numbers of imbedding operators of some classes of analytic functions. Zbl 0473.47041 Parfenov, O. G. 4 1981 Asymptotics of the diameters of some classes of analytic functions. Zbl 0478.30027 Parfenov, O. G. 1 1981 Estimates of singular values of integral operators with analytic kernels. Zbl 0417.47023 Parfenov, O. G. 2 1979 all cited Publications top 5 cited Publications all top 5 Cited by 61 Authors 12 Parfënov, O. G. 5 Baratchart, Laurent 4 Li, Daniel 4 Queffélec, Hervé 4 Rodríguez-Piazza, Luis 3 Ding, Hongming 3 Rozenblum, Grigori V. 2 Berezans’kyĭ, Yuriĭ Makarovych 2 Grabovsky, Yury 2 Hovsepyan, Narek 2 Nguyen, Van Kien 2 Sickel, Winfried 2 Vasilevski, Nikolai Leonidovich 1 Amosov, Grigoriĭ Gennad’evich 1 Baranov, Anton D. 1 Cobos, Fernando 1 Dang, Pei 1 Fisher, Stephen D. 1 Ganapathi Raman, S. 1 Gross, Kenneth Irwin 1 Gustafsson, Bjorn 1 Güttel, Stefan 1 Hernández Rodriguez, Francisco L. 1 Kachanovsky, Nikolai A. 1 Kapustin, Vladimir V. 1 Kühn, Thomas 1 Kumar, Devendra 1 Kunsch, Robert J. 1 Leblond, Juliette 1 Lefèvre, Pascal 1 Lewis, Duaine 1 Lubinsky, Doron S. 1 Magaril-Il’yaev, Gregoriĭ Geogrievich 1 Nguyen, Van-Dung 1 Novak, Erich 1 Osipenko, Konstantin Yur’evich 1 Pozharska, Kateryna Vitaliivna 1 Prokhorov, Vasily A. 1 Pushnitski, Alexander B. 1 Putinar, Mihai 1 Qian, Tao 1 Raynaud, Yves 1 Richards, Donald St. P. 1 Rigat, Stéphane 1 Russ, Emmanuel 1 Saff, Edward Barry 1 Semënov, Evgeniĭ Mikhaĭlovich 1 Seyfert, Fabien 1 Shapiro, Harold Seymour 1 Shvedenko, S. V. 1 Sing, Bernd 1 Stahl, Herbert Robert 1 Stessin, Michael I. 1 Tikhomirov, Vladimir Mikhaĭlovich 1 Trefethen, Lloyd Nicholas 1 Ullrich, Tino 1 Us, Georgi F. 1 Vakarchuk, Sergei Borisovich 1 Vittal Rao, R. 1 Yafaev, Dimitri R. 1 Yattselev, Maxim L. all top 5 Cited in 27 Serials 8 Journal of Approximation Theory 5 Mathematical Notes 4 Functional Analysis and its Applications 4 Journal of Functional Analysis 3 Integral Equations and Operator Theory 3 Journal of Soviet Mathematics 3 Journal of Mathematical Sciences (New York) 1 Inverse Problems 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Mathematische Nachrichten 1 SIAM Journal on Numerical Analysis 1 Transactions of the American Mathematical Society 1 Journal of Complexity 1 Japan Journal of Industrial and Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 Russian Mathematics 1 St. Petersburg Mathematical Journal 1 Computational Methods and Function Theory 1 Analysis and Applications (Singapore) 1 GAMM-Mitteilungen 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Spectral Theory 1 Concrete Operators all top 5 Cited in 15 Fields 22 Approximations and expansions (41-XX) 19 Functional analysis (46-XX) 19 Operator theory (47-XX) 15 Functions of a complex variable (30-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Numerical analysis (65-XX) 2 Potential theory (31-XX) 2 Abstract harmonic analysis (43-XX) 2 Probability theory and stochastic processes (60-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year