Artículo
Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden
Autor/es | Lerner, Andrei K.
Ombrosi, Sheldy J. Pérez Moreno, Carlos |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2009-06 |
Fecha de depósito | 2016-06-15 |
Publicado en |
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Resumen | A well known open problem of Muckenhoupt-Wheeden says that any Calderón-Zygmund singular integral operator T is of weak type (1, 1) with respect to a couple of weights (w, Mw). In this paper we consider a somewhat “dual” ... A well known open problem of Muckenhoupt-Wheeden says that any Calderón-Zygmund singular integral operator T is of weak type (1, 1) with respect to a couple of weights (w, Mw). In this paper we consider a somewhat “dual” problem: sup λ>0 λw x ∈ R n : |T f(x)| Mw > λ ≤ c Z Rn |f| dx. We prove a weaker version of this inequality with M3w instead of Mw. Also we study a related question about the behavior of the constant in terms of the A1 characteristic of w. |
Agencias financiadoras | Ministerio de Educación y Ciencia (MEC). España |
Identificador del proyecto | MTM2006-05622 |
Cita | Lerner, A.K., Ombrosi, S.J. y Pérez Moreno, C. (2009). Weak type estimates for singular integrals related to a dual problem of Muckenhoupt-Wheeden. Journal of Fourier Analysis and Applications, 15 (3), 394-403. |
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