ABEL-POISSON TYPE KERNEL AND PRODUCT TYPE KERNEL ON p-SERIES GROUP

摘要

Let G be a p-series group and Ω be a compact subgroup of G.Let λ(x,r)and λ,(x,r)be A-belp-poisson type kernel and product type kernel On Ω respectively. In this paper we discuss the ap-proximation properties of such kernels, give the estimate5 of their moments, obtain the direct and in-verse approximation theorems.