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Boundedness of commutators related to Marcinkiewicz integrals with #br# variable kernels on weighted weak Hardy spaces#br#

PAN Yali, LI Chang-wen   

  1. School of Mathematical Sciences, Huaibei Normal University,  Huaibei 235000, Anhui, China
  • Received:2013-09-25 Online:2014-03-20 Published:2014-05-29

Abstract: The boundedness of the commutators μΩ,b related to Marcinkiewicz with variable kernels on weighted weak Hardy spaces are proved. By the atomic decompositions of weighted weak Hardy spaces, some results about μΩ,b are obtained under the hypothesis that the kernel satisfies a certain condition, where b∈BMO. The same results are shown for the commutator μρΩ,b related to the parametric Marcinkiewicz integral μρΩ

Key words: variable kernels, weighted weak Hardy spaces, Marcinkiewicz integral

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