We obtain sharp power-weighted , 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-2-1,
author = {Jorge J. Betancor and Eleonor Harboure and Adam Nowak and Beatriz Viviani},
title = {Mapping properties of fundamental operators in harmonic analysis related to Bessel operators},
journal = {Studia Mathematica},
volume = {196},
year = {2010},
pages = {101-140},
zbl = {1201.42018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-2-1}
}
Jorge J. Betancor; Eleonor Harboure; Adam Nowak; Beatriz Viviani. Mapping properties of fundamental operators in harmonic analysis related to Bessel operators. Studia Mathematica, Tome 196 (2010) pp. 101-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm197-2-1/