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

J. J. Betancor, A. J. Castro, P. L. De Nápoli, J. C. Fariña, L. Rodríguez-Mesa
2013 Proceedings of the American Mathematical Society  
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.
doi:10.1090/s0002-9939-2013-11950-7 fatcat:mrq377l44nggzfci22btoten4e