Wang Ji-wen

Convergence of a class of means of Hp functions (0<p<1) on compact lie groups

In this paper we study the convergence of a class of means on Hp(G) (0<p<1), the means take the Bochner-Riesz means in [1], the generalized Bochner-Riesz means in [2], and the operators Tσ, in [3] as special cases. We obtain weak-type estimates for the associated maximal operators and the maximal mean boundedness for the means.