This article is cited in 9 papers

Papers published in the English version of the journal

Fractional Operators on Morrey–Lorentz Spaces and the Olsen Inequality

N. Hatano

Department of Mathematics, Chuo University, Tokyo, 112-8551 Japan

Abstract: Under the Morrey norm, the fractional integral operator and the fractional maximal operator behave similarly as was initially proved by Adams and Xiao. Later on, Tanaka extended this result. The goal of this note is to extend their results on Morrey–Lorentz norm for exponents of full range. A passage to the vector-valued setting is done. Moreover, an Olsen-type inequality is obtained.

Keywords: Morrey spaces, Morrey–Lorentz spaces, fractional integral operators, fractional maximal operators.

Received: 25.07.2019
Revised: 13.09.2019

Language: English

 English version: Mathematical Notes, 2020, 107:1, 63–79

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