CHARACTERIZING THE COMPACTNESS OF CALDERÓN-ZYGMUND COMMUTATORS OF TYPE THETA ON GENERALIZED MORREY-LORENTZ SPACES

  • Pham Ngoc Xuan Vy
  • Phan Thanh Phat
  • Le Minh Thuc
  • Du Kim Thanh
  • Tran Tri Dung
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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Phát hành ngày
2025-06-17