Opened Access El principio de Calderón-Zygmund
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Author: Pérez Moreno, Carlos
Trujillo González, Rodrigo Francisco
Coordinator/Director: Español González, Luis
Varona Malumbres, Juan Luis
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2001
Published in: Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández
ISBN/ISSN: 8495301563
Document type: Chapter of Book
Abstract: In this note we show some estimates for multilinear commutators with vector symbol b = (b1,...,bm) defined by the expression Tbf(x) = Z Rn2 4Ym j=1 (bj (x) − bj (y)) 3 5 K(x, y)f(y) dy, where K is the kernel of any Calderón-Zygmund operator. We generalize and sharpen both classical results from Coifman, and Coifman, Rochberg and Weiss; and also more recent results from the first author. We show that these operators are intimately related to certain appropriate Orlicz type maximal function of the form ML(log L)α where the number α is related to the symbol b.
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URI: http://hdl.handle.net/11441/48235

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