$L^p$-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators

Details $L^p$-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators $L^p$-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators

2012-03-05

arxiv.org/abs/1203.0848v1

Mathematics

Classical Analysis and ODEs

8 pages

Scientific paper

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.

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