用小波表征的变指数赫兹-莫雷-哈代空间及其应用

IF 0.4 Q4 MATHEMATICS

Analysis in Theory and Applications Pub Date : 2023-12-01 DOI:10.4208/ata.oa-2017-0026

Demin Yao, Kai Zhao

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引用次数: 0

摘要

本文利用变指数赫兹-莫雷-哈代空间的原子分解，通过变指数离散帐篷空间的局部版本建立了小波特征。作为应用，得到了分数积分算子从可变指数赫兹-莫雷-哈代空间到可变指数赫兹-莫雷空间的有界性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Analysis in Theory and Applications

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747