Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (5): 926-936.

• Articles • Previous Articles     Next Articles

Molecular Decompositions of Besov Spaces on Domains and an Application

 ZHAO Kai1, LI Peng-Tao1,2   

  1. 1.College of Mathematics, Qingdao University, Shandong Qingdao 266071;
    2.Department of Mathematics, Shantou University, Guangdong Shantou |515063
  • Received:2012-01-10 Revised:2013-06-12 Online:2013-10-25 Published:2013-10-25
  • Supported by:

    国家自然科学基金(11041004)和山东省自然科学基金(ZR2010AM032)资助.

Abstract:

Based on the atoms of Besov spaces defined on domains, the molecules are introduced. By using the Calder\'{o}n type reproducing formula on domains, the molecular decompositions of a wider range of Besov spaces on domains are obtained. As an application, it is proved that the Calder\'{o}n-Zygmund operators are bounded on such Besov spaces.

Key words: Besov space, Domain, Molecular decomposition, Calderon-Zygmund operator

CLC Number: 

  • 42B35
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