$L^p$-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators
Classical Analysis and ODEs
2023-10-25 v1
Abstract
In this paper we prove that the generalized (in the sense of Caffarelli and Calder\'on) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type (1,1). Our results include other known ones and our proofs are simpler than the ones for the known special cases.
Keywords
Cite
@article{arxiv.1203.0848,
title = {$L^p$-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators},
author = {Jorge J. Betancor and Alejandro J. Castro and Pablo L. De Nápoli and Juan C. Fariña and Lourdes Rodríguez-Mesa},
journal= {arXiv preprint arXiv:1203.0848},
year = {2023}
}
Comments
8 pages