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.