Article
Generalized Hörmander conditions and weighted endpoint estimates
Author/s | Lorente Domínguez. María
Martell Berrocal, José María Pérez Moreno, Carlos Riveros, María Silvina |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2009 |
Deposit Date | 2016-11-14 |
Published in |
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Abstract | We consider two-weight estimates for singular integral operators and
their commutators with bounded mean oscillation functions. Hörmander type conditions in the scale of Orlicz spaces are assumed on the kernels. We prove ... We consider two-weight estimates for singular integral operators and their commutators with bounded mean oscillation functions. Hörmander type conditions in the scale of Orlicz spaces are assumed on the kernels. We prove weighted weak-type estimates for pairs of weights (u, Su) where u is an arbitrary nonnegative function and S is a maximal operator depending on the smoothness of the kernel. We also obtain sufficient conditions on a pair of weights (u, v) for the operators to be bounded from Lp(v) to Lp,∞(u). One-sided singular integrals, as the differential transform operator, are under study. We also provide applications to Fourier multipliers and homogeneous singular integrals. |
Project ID. | MTM2005-08350-C03-02
FQM354 MTM2007-60952 CCG07-UAM/ESP-1664 |
Citation | Lorente Domínguez. María, , Martell Berrocal, J.M., Pérez Moreno, C. y Riveros, M.S. (2009). Generalized Hörmander conditions and weighted endpoint estimates. Studia Mathematica, 195 (2), 157-192. |
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