Acta mathematica scientia,Series B ›› 2002, Vol. 22 ›› Issue (3): 413-418.

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BESOV SPACES B ^α,p_p ON DOMAINS AND LAPLACE OPERATORS

 GUI Yi-Qing, LIU Shan-Tian, YANG Da-Chun   

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, China
  • Online:2002-07-15 Published:2002-07-15

Abstract:

Let  be a bounded smooth domain. In this paper, the authors define the Besov spaces ˙B ,pp on , establish the atomic decomposition of these spaces, and obtain the regularity estimate of the Dirichlet problem and the Neumann problem for the Laplaceoperator on these spaces.

Key words: Atom decomposition, Calder on-Zygmund operator, Laplace operator

CLC Number: 

  • 42B30
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