Hardy spaces for Fourier--Bessel expansions

Published 19 Jun 2013 in math.CA and math.FA | (1306.4412v2)

Abstract: We study Hardy spaces for Fourier--Bessel expansions associated with Bessel operators on $((0,1), x^{2\nu+1}\, dx)$ and $((0,1), dx)$. We define Hardy spaces $H^1$ as the sets of $L^1$-functions for which their maximal functions for the corresponding Poisson semigroups belong to $L^1$. Atomic characterizations are obtained.

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