On the Compactness of the Commutator of the Parabolic Marcinkiewicz Integral with Variable Kernel

The authors prove that the commutator of the parabolic Marcinkiewicz integral gΩ with variable kernel is a compact operator on Lp(Rn)  (1<p<∞) if and only if b∈CMO (Rn,ρ). The result is substantial improvement and extension of some known results.

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Bibliographic Details
Main Authors: Yanping Chen, Kai Zhu, Yong Ding
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/693534
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