Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (2): 288-292.

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The Boundedness of a Class of Singular Integrals and Their Commutators on Generalized Morrey Spaces

  

  1. Department of Mathematics, Jiaozuo University, Jiaozuo 454003, China
  • Received:2004-10-12 Online:2006-06-30 Published:2023-12-12
  • About author:WANG Yue-shan(1962-),male,native of Jiaozuo,Henan,a professor of Jiaozuo University, Ph.D.,engages in harmonic analysis and PDE.
  • Supported by:
     Supported by Henan Youth Backone Teacher’s of Colleges and Universities Founded Projects(2004189);

Abstract: The generalized Morrey spaces are introduced under the hypothesis that Rn is endowed with the general parabolic metric , and the boundedness properties are established in generalized Morrey spaces for a class of singular integral operators, which include Calderon-Zygmund singular integrals and their commutators with BMO.

Key words: singular integral, commutator, Morrey spaces

CLC Number: