Weak type ( 1 , 1 ) estimates for maximal operators associated with various multi-dimensional systems of Laguerre functions Adam NowakPeter Sjogren 42C1042B25Laguerre semigroupsLaguerre functionsmaximal operatorsweak type (11) 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 $(1,1)$. Indiana University Mathematics Journal 2007 text pdf 10.1512/iumj.2007.56.2973 10.1512/iumj.2007.56.2973 en Indiana Univ. Math. J. 56 (2007) 417 - 436 state-of-the-art mathematics http://iumj.org/access/