The Hausdorff operator is bounded on the real Hardy space 𝐻¹ (ℝ) E Liflyand, F Móricz Proceedings of the American Mathematical Society 128 (5), 1391-1396, 2000 | 139 | 2000 |

Multidimensional Hausdorff operators on the real Hardy space AK Lerner, E Liflyand Journal of the Australian Mathematical Society 83 (1), 79-86, 2007 | 96 | 2007 |

Hausdorff operators on Hardy spaces ER Liflyand Eurasian Mathematical Journal 4 (4), 101-141, 2013 | 87 | 2013 |

The Wiener algebra of absolutely convergent Fourier integrals: an overview E Liflyand, S Samko, R Trigub Analysis and Mathematical Physics 2 (1), 1-68, 2012 | 76 | 2012 |

Boundedness of the Hausdorff operators in spaces, E Liflyand, A Miyachi Studia Mathematica 194, 279-292, 2009 | 73 | 2009 |

A concept of general monotonicity and applications E Liflyand, S Tikhonov Mathematische Nachrichten 284 (8‐9), 1083-1098, 2011 | 67 | 2011 |

Structural properties of bilateral grand Lebesque spaces E Liflyand, E Ostrovsky, L Sirota Turkish Journal of Mathematics 34 (2), 207-220, 2010 | 64 | 2010 |

Extending tests for convergence of number series E Liflyand, S Tikhonov, M Zeltser Journal of Mathematical Analysis and Applications 377 (1), 194-206, 2011 | 63 | 2011 |

Boundedness of multidimensional Hausdorff operators on H1 (Rn) E Liflyand Acta Sci. Math.(Szeged) 74, 845-851, 2008 | 53 | 2008 |

The banach algebra A and its properties ES Belinskii, ER Liflyand, RM Trigub Journal of Fourier Analysis And Applications 3 (2), 103-129, 1997 | 53 | 1997 |

On asymptotics of Fourier transform for functions of certain classes ER Liflyand Analysis Mathematica 19 (2), 151-168, 1993 | 49 | 1993 |

Extended solution of Boas' conjecture on Fourier transforms E Liflyand, S Tikhonov Comptes Rendus Mathematique 346 (21-22), 1137-1142, 2008 | 40 | 2008 |

Open problems on Hausdorff operators E Liflyand Complex analysis and potential theory, 280-285, 2007 | 39 | 2007 |

Lebesgue constants of multiple Fourier series ER Liflyand Online Journal of Analytic Combinatorics 1, 2006 | 37 | 2006 |

Decay of the Fourier transform A Iosevich, E Liflyand Analytic and geometric aspects. Birkhäuser/Springer, Basel, 2014 | 35 | 2014 |

The multi-parameter Hausdorff Operator is bounded on the product Hardy Space H11 (R x R) E Liflyand, F Möricz Analysis 21 (2), 107-118, 2001 | 34 | 2001 |

Conditions for the absolute convergence of Fourier integrals E Liflyand, R Trigub Journal of Approximation Theory 163 (4), 438-459, 2011 | 32 | 2011 |

Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces E Liflyand, F Móricz Acta Mathematica Hungarica 97 (1-2), 133-143, 2002 | 32 | 2002 |

Weighted Fourier inequalities: Boas’ conjecture in ℝ^{n}D Gorbachev, E Liflyand, S Tikhonov Journal d'Analyse Mathematique 114 (1), 99, 2011 | 31 | 2011 |

The Fourier transforms of general monotone functions E Liflyand, S Tikhonov Analysis and mathematical physics, 377-395, 2009 | 29 | 2009 |