Resumen de The Weak Type (1,1) Estimates of Maximal Functions on the Laguerre Hypergroup
Jizheng Huang, Liu Heping
In this paper, we discuss various maximal functions on the Laguerre hypergroup K including the heat maximal function, the Poisson maximal function, and the Hardy-Littlewood maximal function which is consistent with the structure of hypergroup of K. We shall establish the weak type (1,1) estimates for these maximal functions. The Lp estimates for p > 1 follow from the interpolation. Some applications are included.
