Weak type estimates of commutators on Herz type spaces with variable exponent. Issue 9 (13th June 2022)

• Record Type: Journal Article
• Authors: Wang, Hongbin
• Is Part Of: Applicable analysis. Volume 101:Issue 9(2022)
• Page Start: 3264
• Page End: 3283
• Publication Date: 2022-06-13
• Subjects: Weak type estimate -- BMO(bounded mean oscillation) -- commutator -- Herz type spaces -- variable exponent; 42B20 -- 42B35 -- 46E30; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1842373
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, first we establish the weak type B M O estimates of the commutators of the maximal operator, the fractional maximal operator and some commutators related to linear operators on the Herz type spaces with variable exponent. Subsequently the weak type Lipschitz estimates of Calderón–Zygmund singular integral commutator and fractional integral commutator from Herz-type Hardy spaces with variable exponent to weak Herz spaces with variable exponent are obtained.