Acta Mathematica Sinica, English Series

, Volume 29, Issue 5, pp 883–896 | Cite as

Estimates for vector-valued commutators on weighted Morrey space and applications

Article

Abstract

In this paper, we introduce weighted vector-valued Morrey spaces and obtain some estimates for vector-valued commutators on these spaces. Applications to Calderón-Zygmund singular integral operators, oscillatory singular integral operators and parabolic difference equations are considered.

Keywords

Weighted Morrey space vector-valued commutator Ap weights 

MR(2010) Subject Classification

42B20 42B25 

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Supplementary material

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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of ScienceLinyi UniversityLinyiP. R. China
  2. 2.School of Mathematical SciencesBeijing Normal UniversityBeijingP. R. China

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