A maximal function characterisation of the Hardy space for the Gauss measure
Functional Analysis
2010-06-30 v1
Abstract
In dimension one we give a maximal function characterisation of the Hardy space H^1(g) for the Gauss measure g, introduced by G. Mauceri and S. Meda. In arbitrary dimension, we give a description of the nonnegative functions in H^1(g) and use it to prove that L^p(g) is a contained in H^1(g) for 1<p\le\infty.
Cite
@article{arxiv.1006.5551,
title = {A maximal function characterisation of the Hardy space for the Gauss measure},
author = {G. Mauceri and S. Meda and P. Sjogren},
journal= {arXiv preprint arXiv:1006.5551},
year = {2010}
}
Comments
15 pages