Calder\'on-Zygmund operators in the Bessel setting
Classical Analysis and ODEs
2023-10-25 v1
Abstract
We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood-Paley-Stein square functions, multipliers of Laplace transform type and Riesz transforms. We show that these are (vector-valued) Calder\'on-Zygmund operators in the sense of the associated space of homogeneous type, and hence their mapping properties follow from the general theory.
Cite
@article{arxiv.1012.5638,
title = {Calder\'on-Zygmund operators in the Bessel setting},
author = {Jorge J. Betancor and Alejandro J. Castro and Adam Nowak},
journal= {arXiv preprint arXiv:1012.5638},
year = {2023}
}
Comments
21 pages