Edit Profile (opens in new tab) Karagulyan, Grigori Co-Author Distance Author ID: karagulyan.grigori Published as: Karagulyan, G. A.; Karagulyan, Grigori A.; Karagulyan, G.; Karagulyan, Grigori; Karagulian, G. A.; Karagulyan, Grigorĭ A. more...less Homepage: http://math.sci.am/user/grigori-karagulyan External Links: MGP · Math-Net.Ru Documents Indexed: 71 Publications since 1986, including 9 Additional arXiv Preprints Co-Authors: 17 Co-Authors with 23 Joint Publications 151 Co-Co-Authors all top 5 Co-Authors 48 single-authored 5 Goginava, Ushangi 4 Gát, György 3 Karagulyan, Vahe G. 3 Safaryan, M. H. 2 Karagulyan, D. A. 2 Lacey, Michael T. 2 Muradyan, K. R. 1 Galstyan, S. Sh. 1 Gevorkyan, Gegham G. 1 Gogoladze, Leri Davidovich 1 Kamont, Anna 1 Katkovskaya, I. N. 1 Krotov, Veniamin Grigor’evich 1 Martirosyan, Vahan A. 1 Mkoyan, H. A. 1 Mnatsakanyan, Gevorg 1 Talalyan, An. A. all top 5 Serials 8 Mathematical Notes 7 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 6 Sbornik: Mathematics 4 Akademiya Nauk Armyanskoĭ SSR. Doklady 3 Proceedings of the American Mathematical Society 3 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Analysis Mathematica 2 Colloquium Mathematicum 2 Acta Mathematica Hungarica 2 Constructive Approximation 2 The Journal of Geometric Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Matematicheskie Zametki 1 Russian Mathematical Surveys 1 Studia Mathematica 1 Arkiv för Matematik 1 Acta Scientiarum Mathematicarum 1 Hokkaido Mathematical Journal 1 Indiana University Mathematics Journal 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematische Zeitschrift 1 Real Analysis Exchange 1 Transactions of the American Mathematical Society 1 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika 1 Mathematics of the USSR, Sbornik 1 Russian Academy of Sciences. Sbornik. Mathematics 1 The New York Journal of Mathematics 1 East Journal on Approximations 1 Izvestiya: Mathematics 1 Doklady Mathematics 1 Proceedings of the Yerevan State University. Physical and Mathematical Sciences all top 5 Fields 65 Harmonic analysis on Euclidean spaces (42-XX) 8 Sequences, series, summability (40-XX) 8 Probability theory and stochastic processes (60-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 137 times in 86 Documents Cited by ▼ Year ▼ On unboundedness of maximal operators for directional Hilbert transforms. Zbl 1162.42009 Karagulyan, G. A. 16 2007 Exponential estimates for the Calderón-Zygmund operator and related problems of Fourier series. Zbl 1044.42017 Karagulyan, G. A. 10 2002 BMO-estimation and almost everywhere exponential summability of quadratic partial sums of double Fourier series. Zbl 1316.42013 Goginava, U.; Gogoladze, L.; Karagulyan, G. 10 2014 Everywhere divergent \(\Phi\)-means of Fourier series. Zbl 1120.42005 Karagulyan, G. A. 9 2006 Almost everywhere strong summability of Marcinkiewicz means of double Walsh-Fourier series. Zbl 1340.42066 Gát, György; Goginava, Ushangi; Karagulyan, Grigori 9 2014 An abstract theory of singular operators. Zbl 1445.42009 Karagulyan, Grigori A. 8 2019 On everywhere divergence of the strong \(\Phi\)-means of Walsh-Fourier series. Zbl 1297.42039 Gát, G.; Goginava, U.; Karagulyan, G. 8 2015 Divergence of general operators on sets of measure zero. Zbl 1209.42003 Karagulyan, G. A. 6 2010 On complete characterization of divergence sets of Fourier-Haar series. Zbl 1302.42008 Karagulyan, G. A. 5 2010 On the divergence of strong \(\Phi\)-means of Fourier series. Zbl 0849.42006 Karagulyan, G. A. 4 1991 A complete characterization of \(R\)-sets in the theory of differentiation of integrals. Zbl 1284.42056 Karagulyan, G. A. 4 2007 Characterization of the sets of divergence for sequences of operators with the localization property. Zbl 1217.42009 Karagulyan, G. A. 4 2011 Hilbert transform and exponential integral estimates of rectangular sums of double Fourier series. Zbl 0870.42003 Karagulyan, G. A. 3 1996 On Riemann sums and maximal functions in \( \mathbb R^n\). Zbl 1167.42006 Karagulyan, G. A. 3 2009 On logarithmic bounds of maximal sparse operators. Zbl 1434.42018 Karagulyan, Grigori A.; Lacey, Michael T. 3 2020 On equivalency of martingales and related problems. Zbl 1301.60056 Karagulyan, G. A. 3 2013 On convergence properties of tensor products of some operator sequences. Zbl 1354.42012 Gát, György; Karagulyan, Grigori 3 2016 On divergence of double Fourier series with respect to complete orthonormal systems. Zbl 0679.42014 Karagulyan, G. A. 2 1989 On Weyl multipliers of the rearranged trigonometric system. Zbl 1458.42008 Karagulyan, Grigori A. 2 2020 On systems of non-overlapping Haar polynomials. Zbl 1439.42037 Karagulyan, Grigori A. 2 2020 On the divergence of triangular and eccentric spherical sums of double Fourier series. Zbl 1341.42017 Karagulyan, G. A. 2 2016 On generalizations of Fatou’s theorem for the integrals with general kernels. Zbl 1332.42011 Karagulyan, G. A.; Safaryan, M. H. 2 2015 Necessary and sufficient conditions for differentiability of integrals of random measures in \(R^ n\) over \(n\)-dimensional intervals. Zbl 0729.60061 Karagulyan, G. A. 2 1991 On the convergence to infinity of Fourier series along dense subsequences of numbers. Zbl 0807.42002 Karagulian, G. A. 1 1992 On equivalent orthonormal systems. Zbl 0654.42023 Karagulyan, G. A. 1 1987 On the choice of a subsystem of convergence with logarithmic density from an arbitrary orthonormal system. Zbl 0668.42012 Karagulyan, G. A. 1 1988 On \(L^ p\) convergence of orthogonal series on the sets of nearly full measure. Zbl 0826.42018 Karagulyan, G. A. 1 1994 A sharp estimate for the majorant norm of a rearranged trigonometric system. Zbl 1447.42027 Karagulyan, Grigorĭ A. 1 2020 On a weak type estimate for sparse operators of strong type. Zbl 1440.42060 Karagulyan, G. A.; Mnatsakanyan, G. 1 2019 On separation of subsystems of absolute convergence from orthonormal systems of some class. Zbl 0611.42021 Karagulyan, G. A. 1 1986 On the convergence of multiple ergodic means. Zbl 1507.37006 Karagulyan, Grigori A.; Lacey, Michael T.; Martirosyan, Vahan A. 1 2022 Divergent triangular sums of double trigonometric Fourier series. Zbl 1334.42017 Karagulyan, G. A.; Muradyan, K. R. 1 2015 A remark on the divergence of strong power means of Walsh-Fourier series. Zbl 1316.42033 Gát, G.; Goginava, U.; Karagulyan, G. 1 2014 On separation of subsystems of convergence with lacunary density of numbers from arbitrary orthonormal systems. Zbl 0632.42021 Karagulyan, G. A. 1 1987 On the sweeping out property for convolution operators of discrete measures. Zbl 1225.42013 Karagulyan, G. A. 1 2011 On an equivalence for differentiation bases of dyadic rectangles. Zbl 1362.42044 Karagulyan, G. A.; Karagulyan, D. A.; Safaryan, M. H. 1 2017 On a theorem of Littlewood. Zbl 1361.42018 Karagulyan, G. A.; Safaryan, M. H. 1 2017 Divergence of double Fourier series on complete orthonormal systems. Zbl 0713.42029 Karagulyan, G. A. 1 1989 On the selection of a subsystem of convergence with logarithmic density from an arbitrary orthogonal system. Zbl 0714.42016 Karagulyan, G. A. 1 1989 A necessary and sufficient condition for differentiability of integrals of random measures in \(R^ n\) over \(n\)-dimensional intervals. Zbl 0741.60063 Karagulyan, G. A. 1 1991 On the convergence of multiple ergodic means. Zbl 1507.37006 Karagulyan, Grigori A.; Lacey, Michael T.; Martirosyan, Vahan A. 1 2022 On logarithmic bounds of maximal sparse operators. Zbl 1434.42018 Karagulyan, Grigori A.; Lacey, Michael T. 3 2020 On Weyl multipliers of the rearranged trigonometric system. Zbl 1458.42008 Karagulyan, Grigori A. 2 2020 On systems of non-overlapping Haar polynomials. Zbl 1439.42037 Karagulyan, Grigori A. 2 2020 A sharp estimate for the majorant norm of a rearranged trigonometric system. Zbl 1447.42027 Karagulyan, Grigorĭ A. 1 2020 An abstract theory of singular operators. Zbl 1445.42009 Karagulyan, Grigori A. 8 2019 On a weak type estimate for sparse operators of strong type. Zbl 1440.42060 Karagulyan, G. A.; Mnatsakanyan, G. 1 2019 On an equivalence for differentiation bases of dyadic rectangles. Zbl 1362.42044 Karagulyan, G. A.; Karagulyan, D. A.; Safaryan, M. H. 1 2017 On a theorem of Littlewood. Zbl 1361.42018 Karagulyan, G. A.; Safaryan, M. H. 1 2017 On convergence properties of tensor products of some operator sequences. Zbl 1354.42012 Gát, György; Karagulyan, Grigori 3 2016 On the divergence of triangular and eccentric spherical sums of double Fourier series. Zbl 1341.42017 Karagulyan, G. A. 2 2016 On everywhere divergence of the strong \(\Phi\)-means of Walsh-Fourier series. Zbl 1297.42039 Gát, G.; Goginava, U.; Karagulyan, G. 8 2015 On generalizations of Fatou’s theorem for the integrals with general kernels. Zbl 1332.42011 Karagulyan, G. A.; Safaryan, M. H. 2 2015 Divergent triangular sums of double trigonometric Fourier series. Zbl 1334.42017 Karagulyan, G. A.; Muradyan, K. R. 1 2015 BMO-estimation and almost everywhere exponential summability of quadratic partial sums of double Fourier series. Zbl 1316.42013 Goginava, U.; Gogoladze, L.; Karagulyan, G. 10 2014 Almost everywhere strong summability of Marcinkiewicz means of double Walsh-Fourier series. Zbl 1340.42066 Gát, György; Goginava, Ushangi; Karagulyan, Grigori 9 2014 A remark on the divergence of strong power means of Walsh-Fourier series. Zbl 1316.42033 Gát, G.; Goginava, U.; Karagulyan, G. 1 2014 On equivalency of martingales and related problems. Zbl 1301.60056 Karagulyan, G. A. 3 2013 Characterization of the sets of divergence for sequences of operators with the localization property. Zbl 1217.42009 Karagulyan, G. A. 4 2011 On the sweeping out property for convolution operators of discrete measures. Zbl 1225.42013 Karagulyan, G. A. 1 2011 Divergence of general operators on sets of measure zero. Zbl 1209.42003 Karagulyan, G. A. 6 2010 On complete characterization of divergence sets of Fourier-Haar series. Zbl 1302.42008 Karagulyan, G. A. 5 2010 On Riemann sums and maximal functions in \( \mathbb R^n\). Zbl 1167.42006 Karagulyan, G. A. 3 2009 On unboundedness of maximal operators for directional Hilbert transforms. Zbl 1162.42009 Karagulyan, G. A. 16 2007 A complete characterization of \(R\)-sets in the theory of differentiation of integrals. Zbl 1284.42056 Karagulyan, G. A. 4 2007 Everywhere divergent \(\Phi\)-means of Fourier series. Zbl 1120.42005 Karagulyan, G. A. 9 2006 Exponential estimates for the Calderón-Zygmund operator and related problems of Fourier series. Zbl 1044.42017 Karagulyan, G. A. 10 2002 Hilbert transform and exponential integral estimates of rectangular sums of double Fourier series. Zbl 0870.42003 Karagulyan, G. A. 3 1996 On \(L^ p\) convergence of orthogonal series on the sets of nearly full measure. Zbl 0826.42018 Karagulyan, G. A. 1 1994 On the convergence to infinity of Fourier series along dense subsequences of numbers. Zbl 0807.42002 Karagulian, G. A. 1 1992 On the divergence of strong \(\Phi\)-means of Fourier series. Zbl 0849.42006 Karagulyan, G. A. 4 1991 Necessary and sufficient conditions for differentiability of integrals of random measures in \(R^ n\) over \(n\)-dimensional intervals. Zbl 0729.60061 Karagulyan, G. A. 2 1991 A necessary and sufficient condition for differentiability of integrals of random measures in \(R^ n\) over \(n\)-dimensional intervals. Zbl 0741.60063 Karagulyan, G. A. 1 1991 On divergence of double Fourier series with respect to complete orthonormal systems. Zbl 0679.42014 Karagulyan, G. A. 2 1989 Divergence of double Fourier series on complete orthonormal systems. Zbl 0713.42029 Karagulyan, G. A. 1 1989 On the selection of a subsystem of convergence with logarithmic density from an arbitrary orthogonal system. Zbl 0714.42016 Karagulyan, G. A. 1 1989 On the choice of a subsystem of convergence with logarithmic density from an arbitrary orthonormal system. Zbl 0668.42012 Karagulyan, G. A. 1 1988 On equivalent orthonormal systems. Zbl 0654.42023 Karagulyan, G. A. 1 1987 On separation of subsystems of convergence with lacunary density of numbers from arbitrary orthonormal systems. Zbl 0632.42021 Karagulyan, G. A. 1 1987 On separation of subsystems of absolute convergence from orthonormal systems of some class. Zbl 0611.42021 Karagulyan, G. A. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 84 Authors 21 Karagulyan, Grigori 15 Goginava, Ushangi 6 Chubinidze, Kakha A. 6 Gát, György 5 Oniani, Giorgi Gigla 4 di Plinio, Francesco 3 Antonov, Nikolai Yu. 3 Guo, Shaoming 3 Karagulyan, D. A. 3 Nagy, Károly 3 Parissis, Ioannis R. 3 Pérez, Carlos 2 Demeter, Ciprian 2 Grigoryan, Martin Gevorgovich 2 Kamont, Anna 2 Maranjyan, Artavazd A. 2 Mnatsakanyan, Gevorg 2 Roos, Joris 2 Safaryan, M. H. 2 Seeger, Andreas 2 Thiele, Christoph Martin 2 Xue, Qingying 2 Yu, Haixia 2 Yung, Polam 1 Accomazzo, Natalia 1 Bareladze, G. P. 1 Bateman, Michael D. 1 Bitsadze, K. R. 1 Canto, Javier 1 Cao, Mingming 1 Carro, María Jesús 1 Cejas, María Eugenia 1 Conde-Alonso, Jose M. 1 Duong, Xuan Thinh 1 Getsadze, Rostom D. 1 Gogoladze, Leri Davidovich 1 Gong, Ruming 1 Grigoryan, T. A. 1 Jiao, Yong 1 Katkovskaya, I. N. 1 Khakimbaev, A. Zh. 1 Kim, Jongchon 1 Krotov, Veniamin Grigor’evich 1 Kuffner, Marie-José S. 1 Lacey, Michael T. 1 Li, Ji 1 Lie, Victor Daniel 1 Lipacheva, Ekaterina Vladimirovna 1 Liu, Naijia 1 Lorist, Emiel 1 Mkoyan, H. A. 1 Mosquera, Carolina A. 1 Muradyan, K. R. 1 Osękowski, Adam 1 Parrish, Andrew 1 Pascoe, James Eldred 1 Pereyra, María Cristina 1 Perfekt, Karl-Mikael 1 Podvigin, Ivan Viktorovich 1 Pramanik, Malabika 1 Preobrazhenskii, Igor E. 1 Rela, Ezequiel 1 Rivera-Ríos, Israel P. 1 Rosenblatt, Joseph Max 1 Saari, Olli 1 Sargent, Meredith 1 Solodov, Alekseĭ Petrovich 1 Song, Liang 1 Soria, Javier 1 Tepoyan, Vardan Hakobi 1 Todikov, V. È. 1 Tully-Doyle, Ryan 1 Tulone, Francesco 1 Vempati, Manasa N. 1 Weisz, Ferenc 1 Wen, Yongming 1 Wick, Brett Duane 1 Wilson, Bobby 1 Wu, Huoxiong 1 Wu, Lian 1 Yabuta, Kôzô 1 Yang, Dongyong 1 Zorin-Kranich, Pavel 1 Zuo, Yahui all top 5 Cited in 40 Serials 16 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 7 The Journal of Geometric Analysis 6 Mathematical Notes 6 Proceedings of the American Mathematical Society 3 Journal d’Analyse Mathématique 3 Advances in Mathematics 3 Transactions of A. Razmadze Mathematical Institute 2 Ukrainian Mathematical Journal 2 Journal of Functional Analysis 2 Transactions of the American Mathematical Society 2 Georgian Mathematical Journal 2 Sbornik: Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Analysis & PDE 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Acta Scientiarum Mathematicarum 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Colloquium Mathematicum 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mathematika 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Siberian Mathematical Journal 1 Acta Mathematica Hungarica 1 Constructive Approximation 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 The New York Journal of Mathematics 1 Izvestiya: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Taiwanese Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Lobachevskii Journal of Mathematics 1 Armenian Journal of Mathematics all top 5 Cited in 15 Fields 74 Harmonic analysis on Euclidean spaces (42-XX) 10 Measure and integration (28-XX) 10 Functional analysis (46-XX) 6 Sequences, series, summability (40-XX) 5 Real functions (26-XX) 5 Functions of a complex variable (30-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) Citations by Year