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Factorization of functions in H1(ℝn) and generalized Morrey spaces

✍ Scribed by Yasuo Komori; Takahiro Takahiro

Publisher: John Wiley and Sons
Year: 2006
Tongue: English
Weight: 116 KB
Volume: 279
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.200310381

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✦ Synopsis

Abstract

We prove a factorization theorem for functions in H ^1^(ℝ^n^ ) using generalized Morrey spaces. As a corollary of our result we show that if the commutator of Coifman, Rochberg and Weiss [b , T ] is bounded on the generalized Morrey spaces, then b is a BMO function. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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