Acta mathematica scientia,Series A

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Weighted Hardy Theory on a Domain in Rn

Lan Jiacheng ;Yan Dunyan   

  1. Department of Mathematics, Lishui University, Lishui 323000
  • Received:2004-11-03 Revised:2005-10-06 Online:2006-08-25 Published:2006-08-25
  • Contact: Lan Jiacheng

Abstract: In this paper, let Ω С Rn be a domain.The authors define some weighted
Hardy spaces on Ω and get atomic decompositions for these spaces. This paper is preliminary for them to study in the field about weighted
Hardy theory on a smooth domain in Rn and elliptic boundary value problems.

Key words: Lipschitz domain, W-(p,q,N) atom, Hardy theory.

CLC Number: 

  • 42B2
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