On unboundedness of maximal operators for directional Hilbert transforms G Karagulyan Proceedings of the American Mathematical Society 135 (10), 3133-3141, 2007 | 49 | 2007 |

BMO-estimation and almost everywhere exponential summability of quadratic partial sums of double Fourier series U Goginava, L Gogoladze, G Karagulyan Constructive Approximation 40 (1), 105-120, 2014 | 24 | 2014 |

Divergence of general localized operators on the sets of measure zero GA Karagulyan arXiv preprint arXiv:0912.1453, 2009 | 21 | 2009 |

An abstract theory of singular operators G Karagulyan Transactions of the American Mathematical Society 372 (7), 4761-4803, 2019 | 17 | 2019 |

Almost everywhere strong summability of Marcinkiewicz means of double Walsh-Fourier series G Gát, U Goginava, G Karagulyan Analysis Mathematica 40 (4), 243-266, 2014 | 16 | 2014 |

Everywhere divergent Φ-means of Fourier series GA Karagulyan Mathematical Notes 80 (1-2), 47-56, 2006 | 16 | 2006 |

On everywhere divergence of the strong Φ-means of Walsh–Fourier series G Gát, U Goginava, G Karagulyan Journal of Mathematical Analysis and Applications 421 (1), 206-214, 2015 | 15 | 2015 |

Everywhere divergent Φ-means of Fourier series GA Karagulyan Mathematical Notes 80 (1-2), 47-56, 2006 | 14 | 2006 |

On convergence properties of tensor products of some operator sequences G Gát, G Karagulyan The Journal of Geometric Analysis 26, 3066-3089, 2016 | 13 | 2016 |

An estimate of the maximal operators associated with generalized lacunary sets G Karagulyan, MT Lacey arXiv preprint math/0404027, 2004 | 13 | 2004 |

On generalizations of Fatou’s theorem for the integrals with general kernels GA Karagulyan, MH Safaryan The Journal of Geometric Analysis 25, 1459-1475, 2015 | 9 | 2015 |

Characterization of the sets of divergence for sequences of operators with the localization property GA Karagulyan Sbornik: Mathematics 202 (1), 9, 2011 | 8 | 2011 |

On the divergence of strong Φ-means of Fourier series GA Karagulyan Izv. Acad. Sci. of Armenia 26 (2), 159-162, 1991 | 8 | 1991 |

On logarithmic bounds of maximal sparse operators GA Karagulyan, MT Lacey Mathematische Zeitschrift 294 (3-4), 1271-1281, 2020 | 7 | 2020 |

Divergence of double Fourier series in complete orthonormal systems GA Karagulyan Russian. English, Armenian summary) Izv. Akad. Nauk Armyan. SSR Ser. Mat 24 …, 1989 | 7 | 1989 |

On a theorem of Littlewood GA Karagulyan, MH Safaryan Hokkaido Mathematical Journal 46 (1), 87-106, 2017 | 6 | 2017 |

On complete characterization of divergence sets of fourier-haar series GA Karagulyan Journal of Contemporary Mathematical Analysis 45, 334-347, 2010 | 6 | 2010 |

On the complete characterization of differentiation sets of integrals GA Karagulyan arXiv preprint math/0511479, 2005 | 6 | 2005 |

On the complete characterization of differentiation sets of integrals GA Karagulyan arXiv preprint math/0511479, 2005 | 6 | 2005 |

Exponential Estimates of the Calderón--Zygmund Operator and Related Questions about Fourier Series GA Karagulyan Mathematical Notes 71, 362-373, 2002 | 6 | 2002 |