Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces

Authors

  • Dan Xiao Department of Basic Courses, Anhui Professional College of Art, Hefei, 230001
  • Lisheng Shu School of Mathematics and Statistics, Anhui Normal University, Wuhu, Anhui, 241003

DOI:

https://doi.org/10.13447/j.1674-5647.2018.04.10

Keywords:

Marcinkiewicz integral, variable exponent, Muckenhoupt weight, Herz-Morrey space

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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Published

2019-12-16

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Issue

Vol. 34 No. 4 (2018)

Section

Articles

How to Cite

Boundedness of Marcinkiewicz Integrals in Weighted Variable Exponent Herz-Morrey Spaces. (2019). Communications in Mathematical Research, 34(4), 371-382. https://doi.org/10.13447/j.1674-5647.2018.04.10