Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators

Betancor, J.; Castro, A.; De Nápoli, P.; Fariña, J.; Rodríguez-Mesa, L.

doi:10.1090/S0002-9939-2013-11950-7

Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
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by J. J. Betancor, A. J. Castro, P. L. De Nápoli, J. C. Fariña and L. Rodríguez-Mesa PDF

Proc. Amer. Math. Soc. 142 (2014), 251-261 Request permission

Abstract:

In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) 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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