Hardy spaces for Fourier--Bessel expansions

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.

21 pages, 2 figures. To appear in Journal d'Analyse Mathematique

References in corpus (2)

• Potential operators associated with Jacobi and Fourier-Bessel expansions
• Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter