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Bi-commutators of fractional integrals on product spaces

✍ Scribed by Wengu Chen; Yongsheng Han; Changxing Miao

Publisher: John Wiley and Sons
Year: 2008
Tongue: English
Weight: 161 KB
Volume: 281
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200510663

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✦ Synopsis

Abstract

Recently Lacey extended Chanillo's boundedness result of commutators with fractional integrals to a higher parameter setting. In this paper, we extend Lacey's result to higher dimensional spaces by a different method. Our method is in terms of the dual relationship between product BMO and product Hardy space and the maximal function characterization of product Hardy spaces obtained by S.‐Y.Chang and R. Fefferman. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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