Commutators of Littlewood-Paley Operators on the Generalized Morrey Space. (28th July 2010)

• Record Type: Journal Article
• Authors: Chen, Yanping; Ding, Yong; Wang, Xinxia
• Other Names: Ding Shusen Academic Editor.
• Is Part Of: Journal of inequalities and applications. Volume 2010(2010)
• Publication Date: 2010-07-28
• Subjects: Inequalities (Mathematics) -- Periodicals; 512.97
• DOI: 10.1155/2010/961502
• Languages: English
• ISSNs: 1029-242X

Abstract

Abstract : Letμ Ω, μ S ϖ, andμ λ ∗, ϖ denote the Marcinkiewicz integral, the parameterized area integral, and the parameterized Littlewood-Paleyg λ ∗ function, respectively. In this paper, the authors give a characterization of BMO space by the boundedness of the commutators ofμ Ω, μ S ϖ, andμ λ ∗, ϖ on the generalized Morrey spaceL p, φ ( ℝ n ) .