Approximation Theory and its Applications

, Volume 14, Issue 4, pp 46–52 | Cite as

Abel-poisson type kernel and product type kernel onp-series group

  • Guangcai Zhou


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.


Constant Function Product Type Haar Measure Singular Integral Compact Subgroup 
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Copyright information

© Springer 1998

Authors and Affiliations

  • Guangcai Zhou
    • 1
  1. 1.Department of MathematicsUniversity of SaskatchewanSaskatoonCanada

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