Paley inequality for the Weyl transform and its applications
Classical Analysis and ODEs
2023-07-06 v1 Functional Analysis
Abstract
In this paper, we prove several versions of the classical Paley inequality for the Weyl transform. As an application, we discuss - boundedness of the Weyl multipliers and prove a version of the H\"ormander's multiplier theorem. We also prove Hardy-Littlewood inequality. Finally, we study vector-valued versions of these inequalities. In particular, we consider the inequalities of Paley, Hausdorff-Young, and Hardy-Littlewood and their relations.
Keywords
Cite
@article{arxiv.2307.02217,
title = {Paley inequality for the Weyl transform and its applications},
author = {Ritika Singhal and N. Shravan Kumar},
journal= {arXiv preprint arXiv:2307.02217},
year = {2023}
}