Higher-Order Commutators of Parametric Marcinkiewicz Integrals on Herz Spaces with Variable Exponent. (1st November 2018)

• Record Type: Journal Article
• Authors: Wang, Hongbin; Yan, Dunyan
• Other Names: Fiorenza Alberto Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2018(2018)
• Publication Date: 2018-11-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2018/7319093
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : LetΩ ∈ L s ( S n - 1 ) fors ⩾ 1 be a homogeneous function of degree zero andb be BMO functions. In this paper, we obtain some boundedness of the parametric Marcinkiewicz integral operatorμ Ω ρ and its higher-order commutator[ b m, μ Ω ρ ] on Herz spaces with variable exponent.