Year: 2018
Author: Dan Xiao, Lisheng Shu
Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 371–382
Abstract
In this paper, under natural regularity assumptions on the exponent function, we prove some boundedness results for the functions of Littlewood-Paley, Lusin and Marcinkiewicz on a new class of generalized Herz-Morrey spaces with weight and variable exponent, which essentially extends some known results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.04.10
Communications in Mathematical Research , Vol. 34 (2018), Iss. 4 : pp. 371–382
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Marcinkiewicz integral variable exponent Muckenhoupt weight Herz-Morrey space