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

Mathematics – Functional Analysis

Scientific paper

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15 pages

Scientific paper

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

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