Kodai Mathematical Journal

Compactness characterization of commutators for Littlewood-Paley operators

Yanping Chen and Yong Ding

Source: Kodai Math. J. Volume 32, Number 2 (2009), 256-323.

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.

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.kmj/1245982907
Digital Object Identifier: doi:10.2996/kmj/1245982907
Zentralblatt MATH identifier: 05598067


2009 © Tokyo Institute of Technology, Department of Mathematics