A characterization of CMO˙q→ via the commutator of Hardy-type operators on mixed Herz spaces. Issue 16 (2nd November 2022)

• Record Type: Journal Article
• Authors: Wei, Mingquan
• Is Part Of: Applicable analysis. Volume 101:Issue 16(2022)
• Page Start: 5727
• Page End: 5742
• Publication Date: 2022-11-02
• Subjects: Hardy operator -- commutator -- Herz space -- Herz–Hardy space -- mixed spaces; 42B20 -- 42B35; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1903446
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, we introduce and study the mixed central bounded mean oscillation space CMO ˙ q → ( R n ), which is a new central version of the bounded mean oscillation spaces BMO. The pre-dual of CMO ˙ q → ( R n ) is proved to be the mixed Herz–Hardy space HA q → ( R n ) . Moreover, we also give a characterization of CMO ˙ q → ( R n ) via the boundedness of the commutators of n -dimensional Hardy operator and its dual operator on mixed Herz spaces K ˙ q → α, p ( R n ) .