CHARACTERIZING THE COMPACTNESS OF CALDERÓN-ZYGMUND COMMUTATORS OF TYPE THETA ON GENERALIZED MORREY-LORENTZ SPACES
Từ khóa:
Calderón-Zygmund commutator of type θ; generalized Morrey-Lorentz space; compactness
Tóm tắt
In this paper, we characterize the compactness of the Calderón-Zygmund commutator [],bT of type θ on generalized Morrey-Lorentz spaces (),nprϕM. More precisely, we prove that if ()nbCMO∈, which is the ()nBMO closure of ()ncC∞, then [],bT is a compact operator on (),nprϕM for all 1p<<∞ and 1r≤<∞.
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2025-06-17
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