Hardy's inequality for Hermite expansions revisited
Classical Analysis and ODEs
2021-11-23 v1 Functional Analysis
Abstract
In this article, we give a short proof of Hardy's inequality for Hermite expansions of functions in the classical Hardy spaces , by using an atomic decomposition of the Hardy spaces associated with the Hermite operators. When the space dimension is , we obtain a new estimate of Hardy's inequality for Hermite expansions in for the range
Cite
@article{arxiv.2111.10619,
title = {Hardy's inequality for Hermite expansions revisited},
author = {Peng Chen and Jinsen Xiao},
journal= {arXiv preprint arXiv:2111.10619},
year = {2021}
}