☆ 4.5 Article

BOUNDEDNESS AND COMPACTNESS FOR THE COMMUTATOR OF THE ω-TYPE CALDERON-ZYGMUND OPERATOR ON LORENTZ SPACE

ACTA MATHEMATICA SCIENTIA (2023)

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Article Mathematics, Applied

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

Nguyen Anh Dao et al.

Summary: This study examines the Lorentz boundedness properties of Calderon-type commutators and their relationship with spaces of bounded mean oscillation and vanishing mean oscillation. In practical applications, the Lorentz boundedness and compactness characteristics of integral commutators with singular kernel of Calderon-Zygmund type are obtained for strictly pseudoconvex domains in C-n or convex domains of finite type in C-n.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2021)

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Article Mathematics