Abel-poisson type kernel and product type kernel onp-series group
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Let G be a p-series group and Ω be a compact subgroup of G. Let λ(x,r) and λn (x,r) be Abelp-poisson type kernel and product type kernel on Ω respectively. In this paper we discuss the approximation properties of such kernels, give the estimates of their moments, obtain the direct and inverse approximation theorems.
KeywordsConstant Function Product Type Haar Measure Singular Integral Compact Subgroup
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