The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces

The Boundedness of Marcinkiewicz Integrals on Grand Variable Herz Spaces

Year:    2023

Author:    Dan Xiao, Lisheng Shu

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 163–177

Abstract

Under some natural regularity assumptions on the exponent function, we obtain the boundedness of Marcinkiewicz integrals $\mu,$ $\mu^ρ_S$ and $\mu^{∗,ρ}_λ$ on grand variable Herz spaces. Our results enrich and improve some previous results in the literature.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2021-0007

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 2 : pp. 163–177

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Marcinkiewicz integrals Herz spaces variable exponent grand spaces.

Author Details

Dan Xiao

Lisheng Shu