Sci Math | Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type

Sci Math

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Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type

Authors: Nguyen Anh Dao, Steven George Krantz, Đào Nguyên Anh,

https://doi.org/10.1016/j.na.2020.112162

Publisher, magazine: ,

Publication year: 2021

Lưu Trích dẫn

Abstract

We study the Lorentz boundedness properties of Calderón-type commutators and relate those properties to the spaces of bounded mean oscillation and vanishing mean oscillation. In application, we obtain Lorentz boundedness and compactness characterization of integral commutators with singular kernel of Calderón–Zygmund type on strictly pseudoconvex domains in , or convex domain of finite type in .

Tags: BMO, VMO, Lorentz space, Commutators, Singular integral operators, Pseudoconvex domains

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Lorentz boundedness and compactness characterization of integral commutators on spaces of homogeneous type