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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2000 Volume 6, Issue 2, Pages 565–581 (Mi fpm490)

On some maximal operators, connected with the operation of convolution

T. Yu. Semenova

M. V. Lomonosov Moscow State University

Abstract: Some maximal operators, special cases of which include the maximal Hilbert operator and Hardy–Littlewood maximal function, have been considered in this article. We prove estimations that generalize Kolmogoroff and Riesz theorems under weaker conditions than in previous works of T. P. Lukashenko and M. Kotlyar.

UDC: 517.51

Received: 01.03.1997



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