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BESOV SPACES B_p^(α,p) ON DOMAINS AND LAPLACE OPERATORS 被引量:1

BESOV SPACES B_p^(α,p) ON DOMAINS AND LAPLACE OPERATORS
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摘要 Let be a bounded smooth domain. In this paper, the authors define the Besov spaces Bpap on , establish the atomic decomposition of these spaces, and obtain the regularity estimate of the Dirichlet problem and the Neumann problem for the Laplace operator on these spaces. Let be a bounded smooth domain. In this paper, the authors define the Besov spaces Bpap on , establish the atomic decomposition of these spaces, and obtain the regularity estimate of the Dirichlet problem and the Neumann problem for the Laplace operator on these spaces.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2002年第3期413-418,共6页 数学物理学报(B辑英文版)
关键词 Atom decomposition Calderon-Zygmund operator Laplace operator Atom decomposition, Calderon-Zygmund operator, Laplace operator
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参考文献4

  • 1Yi Qing GUI,Shan Zhen LU,Da Chun YANG Department of Mathematics. Beijing Normal University. Beijing 100875. P. R. China.The Besov Space B_1^(0.1) on Domains[J].Acta Mathematica Sinica,English Series,2001,17(2):181-196. 被引量:2
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  • 4Chang D C,Krantz S G,Stein E M.Hp theory on a smooth domain in Rn and elliptic boundary value problems[].Journal of Functional Analysis.1993

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