Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
Classical Analysis and ODEs
2010-09-10 v1
Abstract
We prove sharp power-weighted strong type, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.
Keywords
Cite
@article{arxiv.0802.3497,
title = {Mapping properties of fundamental operators in harmonic analysis related to Bessel operators},
author = {Jorge J. Betancor and Eleonor Harboure and Adam Nowak and Beatriz Viviani},
journal= {arXiv preprint arXiv:0802.3497},
year = {2010}
}
Comments
31 pages with 2 figures