Calderón-Zygmund operators and commutators on weighted Lorentz spaces

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Soria, Javier and Carro, María J. and Li, Hongliang and Sun, Qinxiu (2020) Calderón-Zygmund operators and commutators on weighted Lorentz spaces. Journal of geometric analysis, 4 . ISSN 1050-6926

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Abstract

We find necessary conditions (which are also sufficient, for some particular cases) for a pair of weights u and w such that a Calder_on-Zygmund operator T, or its commutator [b; T], with b 2 BMO, is bounded on the weighted Lorentz spaces _p u(w), for 1 < p < 1. This result completes the study already known for the Hardy-Littlewood maximal operator and the Hilbert transform, and hence unifies the weighted theories for the Ap and Bp classes.


Item Type:Article
Uncontrolled Keywords:Calderón-Zygmund operators; Commutators; Weighted Lorentz spaces
Palabras clave (otros idiomas):Operadores Calderón-Zygmund; Espacios de Lorentz
Subjects:Sciences > Mathematics
ID Code:63252
Deposited On:02 Dec 2020 08:50
Last Modified:02 Dec 2020 12:15

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