Commutators of Cauchy–Fantappiè type integrals on generalized Morrey spaces on complex ellipsoids

Nguyen Anh Dao, Xuan Thinh Duong*, Ly Kim Ha

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    1 Citation (Scopus)

    Abstract

    Let Ω be a domain which belongs to a class of bounded weakly pseudoconvex domains of finite type in Cn, let dλ be the Monge–Ampère boundary measure on bΩ and ϱ≥ 0 be a non-decreasing function. The aim of this paper is to establish the characterizations of boundedness and compactness for the commutator operators of Cauchy–Fantappiè type integrals with L1(bΩ , dλ) functions on the generalized Morrey spaces Lϱp(bΩ,dλ), with p∈ (1 , ∞).

    Original languageEnglish
    Number of pages30
    JournalJournal of Geometric Analysis
    Early online date9 Feb 2021
    DOIs
    Publication statusE-pub ahead of print - 9 Feb 2021

    Keywords

    • BMO
    • VMO
    • Commutators
    • · Singular integral operators
    • Convex domains of finite type

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