Properties of singular integrals in terms of maximal functions measuring smoothness

Rahim M. Rzaev

Properties of singular integrals in terms of maximal functions measuring smoothness

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Authors

Rahim M. Rzaev

Keywords:

maximal functions, smoothness of functions, local oscillation, modulus of continuity, singular integrals

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.

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Published

2013-09-30

How to Cite

Rzaev, R. M. (2013). Properties of singular integrals in terms of maximal functions measuring smoothness. Eurasian Mathematical Journal, 4(3), 107–119. Retrieved from https://emj.enu.kz/index.php/main/article/view/540