This article is cited in 1 paper

Properties of singular integrals in terms of maximal functions measuring smoothness

R. M. Rzaev<sup>ab

a</sup> Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, Baku, Azerbaijan
^b Azerbaijan State Pedagogical University, Baku, Azerbaijan

Abstract: This paper is devoted to the study of certain maximal functions measuring smoothness, related function spaces, and properties of multidimensional singular integrals. In this work we essentially use the relation between maximal functions measuring smoothness and local oscillation of functions.

Keywords and phrases: maximal functions, smoothness of functions, local oscillation, modulus of continuity, singular integrals.

MSC: 26B35, 42B20

Received: 03.04.2013

Language: English