Fourier transform decay of distributions in Hardy-Morrey spaces
Analysis of PDEs
2023-04-25 v2 Functional Analysis
Abstract
In this paper we establish decay estimates for Fourier transform on Hardy-Morrey spaces and its localizable version. Our work include some aspects to these spaces linked up with pointwise Fourier estimates, in particular a natural approach on cancellation moment conditions. As application, we discuss the optimality for continuity of Fourier multipliers and pseudodifferential operators in Hardy-Morrey spaces.
Keywords
Cite
@article{arxiv.2011.10176,
title = {Fourier transform decay of distributions in Hardy-Morrey spaces},
author = {Marcelo F. de Almeida and Tiago H. Picon},
journal= {arXiv preprint arXiv:2011.10176},
year = {2023}
}
Comments
We have refined, in several parts, the presentation of the article and changed the title