Weighted norm inequalities for Toeplitz type operators associated to generalized Calderón–Zygmund operators

Let [Formula: see text] be a generalized Calderón–Zygmund operator or [Formula: see text] ( the identity operator), let [Formula: see text] and [Formula: see text] be the linear operators, and let [Formula: see text] . Denote the Toeplitz type operator by [Formula: see text] where [Formula: see text...

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Detalles Bibliográficos
Autores principales: Tang, Yongli, Ban, Tao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4988963/
https://www.ncbi.nlm.nih.gov/pubmed/27588245
http://dx.doi.org/10.1186/s40064-016-3022-7
Descripción
Sumario:Let [Formula: see text] be a generalized Calderón–Zygmund operator or [Formula: see text] ( the identity operator), let [Formula: see text] and [Formula: see text] be the linear operators, and let [Formula: see text] . Denote the Toeplitz type operator by [Formula: see text] where [Formula: see text] and [Formula: see text] is fractional integral operator. In this paper, we establish the sharp maximal function estimates for [Formula: see text] when b belongs to weighted Lipschitz function space, and the weighted norm inequalities of [Formula: see text] on weighted Lebesgue space are obtained.

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