Open Access
June 2009 Compactness characterization of commutators for Littlewood-Paley operators
Yanping Chen, Yong Ding
Kodai Math. J. 32(2): 256-323 (June 2009). DOI: 10.2996/kmj/1245982907

Abstract

In this paper, the authors prove that the commutator [b,L] is a compact operator in Lp(Rn) if and only if b $\in$ VMO(Rn), where L denotes the Littlewood-Paley operators, such as the Littlewood-Paley g-function, Lusin area integral and Littlewood-Paley gλ* function.

Citation

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Yanping Chen. Yong Ding. "Compactness characterization of commutators for Littlewood-Paley operators." Kodai Math. J. 32 (2) 256 - 323, June 2009. https://doi.org/10.2996/kmj/1245982907

Information

Published: June 2009
First available in Project Euclid: 26 June 2009

zbMATH: 1205.42012
MathSciNet: MR2549546
Digital Object Identifier: 10.2996/kmj/1245982907

Rights: Copyright © 2009 Tokyo Institute of Technology, Department of Mathematics

Vol.32 • No. 2 • June 2009
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