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Volume 39, Issue 4
Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application

Demin Yao & Kai Zhao

DOI: 10.4208/ata.OA-2017-0026

Anal. Theory Appl., 39 (2023), pp. 385-406.

Published online: 2023-12

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  • 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.

  • Keywords

Wavelet, variable exponent, characterization, Herz-Morrey-Hardy space.

  • AMS Subject Headings

42B30, 42B20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-39-385, author = {Yao , Demin and Zhao , Kai}, title = {Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0026}, url = {http://global-sci.org/intro/article_detail/ata/22304.html} }
TY - JOUR T1 - Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application AU - Yao , Demin AU - Zhao , Kai JO - Analysis in Theory and Applications VL - 4 SP - 385 EP - 406 PY - 2023 DA - 2023/12 SN - 39 DO - http://doi.org/10.4208/ata.OA-2017-0026 UR - https://global-sci.org/intro/article_detail/ata/22304.html KW - Wavelet, variable exponent, characterization, Herz-Morrey-Hardy space. AB -

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.

Demin Yao & Kai Zhao. (2023). Variable Exponent Herz-Morrey-Hardy Spaces Characterized by Wavelets and Its Application. Analysis in Theory and Applications. 39 (4). 385-406. doi:10.4208/ata.OA-2017-0026
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