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arXiv · 1006.5551

A maximal function characterisation of the Hardy space for the Gauss measure

G. Mauceri·S. Meda·P. Sjogren
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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.

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G. Mauceri, S. Meda, P. Sjogren. 2010-06-29. A maximal function characterisation of the Hardy space for the Gauss measure. https://arxiv.org/abs/1006.5551

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