Matrix dilation and Hausdorff operators on modulation spaces
Classical Analysis and ODEs
2022-07-20 v1 Functional Analysis
Abstract
In this paper, we establish the asymptotic estimates for the norms of the matrix dilation operators on modulation spaces. As an application, we study the boundedness on modulation spaces of Hausdorff operators. The definition of Hausdorff operators are also revisited for fitting our study.
Cite
@article{arxiv.2111.08530,
title = {Matrix dilation and Hausdorff operators on modulation spaces},
author = {Weichao Guo and Jiangkun Luo and Guoping Zhao},
journal= {arXiv preprint arXiv:2111.08530},
year = {2022}
}