Chapter of Book
El principio de Calderón-Zygmund
Author/s | Pérez Moreno, Carlos
Trujillo González, Rodrigo Francisco |
Editor | Español González, Luis
Varona Malumbres, Juan Luis |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2001 |
Deposit Date | 2016-10-27 |
Published in |
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ISBN/ISSN | 8495301563 |
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 ... 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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