Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II


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Authors

  • Victor Burenkov

Keywords:

local and global Morrey-type spaces, fractional maximal operator, Riesz potential, singular integral operator, Hardy operator

Abstract

The survey is aimed at providing detailed information about recent results in the problem of the boundedness in general Morrey-type spaces of various important operators of real analysis, namely of the maximal operator, fractional maximal operator, Riesz potential, singular integral operator, Hardy operator. The main focus is on the results which contain, for a certain range of the numerical parameters, necessary and sufficient conditions on the functional parameters characterizing general Morrey-type spaces, ensuring the boundedness of the aforementioned operators from one general Morrey-type space to another one.

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Published

2013-03-30

How to Cite

Burenkov, V. (2013). Recent progress in studying the boundedness of classical operators of real analysis in general Morrey-type spaces. II. Eurasian Mathematical Journal, 4(1), 21–45. Retrieved from https://emj.enu.kz/index.php/main/article/view/497

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