Hardy spaces for Fourier--Bessel expansions

Autor:	Dziubański, J., Preisner, M., Roncal, L., Stinga, P. R.
Rok vydání:	2013
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages, 2 figures. To appear in Journal d'Analyse Mathematique
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1306.4412 Zobrazit plný text záznamu View this record from Arxiv