Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces. (15th January 2015)

• Record Type: Journal Article
• Authors: Cui, Runqing; Li, Zhang
• Other Names: Persson Lars E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-01-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/450145
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We will study the boundedness of Marcinkiewicz integrals with rough kernel on the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by aB M O R n function and Marcinkiewicz integrals are also bounded on the generalized weighted Morrey spaces.