Artículo
Sharp weighted estimates for multilinear commutators
Autor/es | Pérez Moreno, Carlos
Trujillo González, Rodrigo Francisco |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2002-06 |
Fecha de depósito | 2016-10-10 |
Publicado en |
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Resumen | Multilinear commutators with vector symbol Formula=(b1,…,bm) defined by
Formula
are considered, where K is a Calderón–Zygmund kernel. The following a priori estimates are proved for w ∈ A∞. For 0 < p < ∞, there exists ... Multilinear commutators with vector symbol Formula=(b1,…,bm) defined by Formula are considered, where K is a Calderón–Zygmund kernel. The following a priori estimates are proved for w ∈ A∞. For 0 < p < ∞, there exists a constant C such that Formula and Formula where Formula Formula and ML(log L)α is an Orlicz type maximal operator. This extends, with a different approach, classical results by Coifman. As a corollary, it is deduced that the operators Formula are bounded on Lp(w) when w ∈ Ap, and that they satisfy corresponding weighted L(log L)1/r-type estimates with w ∈ A1. |
Agencias financiadoras | Dirección General de Enseñanza Superior e Investigación Científica (DGESIC). España Comunidad Autónoma de Canarias |
Identificador del proyecto | PB980106
PI1999/105 |
Cita | Pérez Moreno, C. y Trujillo González, R.F. (2002). Sharp weighted estimates for multilinear commutators. Journal of the London Mathematical Society, 65 (3), 672-692. |
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