Title: Weak type ( 1 , 1 ) estimates for maximal operators associated with various multi-dimensional systems of Laguerre functions

Authors: Peter Sjogren and Adam Nowak

Issue: Volume 56 (2007), Issue 1, 417-436

Abstract: We prove that maximal operators associated with heat-diffusion semigroups corresponding to expansions with respect to different systems of multi-dimensional Laguerre functions are of weak type $(1,1)$.