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Factorization of functions in H 1 (ℝ n ) and generalized Morrey spaces
Author(s) -
Komori Yasuo,
Takahiro Takahiro
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310381
Subject(s) - factorization , corollary , mathematics , commutator , bounded function , function (biology) , pure mathematics , combinatorics , algebra over a field , mathematical analysis , lie conformal algebra , algorithm , evolutionary biology , biology
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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