Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application

Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application

Year:    2023

Author:    Demin Yao, Kai Zhao

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 4 : pp. 385–406

Abstract

In this paper, using the atomic decomposition of the Herz-Morrey-Hardy spaces with variable exponent, the wavelet characterization by means of a local version of the discrete tent spaces with variable exponent is established. As an application, the boundedness of the fractional integral operators from variable exponent Herz-Morrey-Hardy spaces into variable exponent Herz-Morrey spaces is obtained.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2017-0026

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 4 : pp. 385–406

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Wavelet variable exponent characterization Herz-Morrey-Hardy space.

Author Details

Demin Yao

Kai Zhao