Frontiers of Mathematics in China

, Volume 5, Issue 3, pp 531–539 | Cite as

Weighted Hardy operators and commutators on Morrey spaces

Research Article

Abstract

The operator norms of weighted Hardy operators on Morrey spaces are worked out. The other purpose of this paper is to establish a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy operators (with symbols in BMO(ℝn)) on Morrey spaces.

Keywords

Weighted Hardy operator BMO commutator Morrey space 

MSC

42B25 26D15 42B99 

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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of MathematicsLinyi Normal UniversityLinyiChina
  2. 2.School of Mathematical SciencesBeijing Normal UniversityBeijingChina

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