Harmonic Analysis Operators Associated with Multidimensional Bessel Operators
Classical Analysis and ODEs
2023-10-25 v1 Functional Analysis
Abstract
In this paper we establish that the maximal operator and the Littlewood-Paley g-function associated with the heat semigroup defined by multidimensional Bessel operators are of weak type (1,1). Also, we prove that Riesz transforms in the multidimensional Bessel setting are of strong type (p,p), for every , and of weak type (1,1).
Keywords
Cite
@article{arxiv.1003.0397,
title = {Harmonic Analysis Operators Associated with Multidimensional Bessel Operators},
author = {J. J. Betancor and A. J. Castro and J. Curbelo},
journal= {arXiv preprint arXiv:1003.0397},
year = {2023}
}
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38 pages