The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator. (8th May 2014)

• Record Type: Journal Article
• Authors: Chen, Dongxiang; Zou, Dan
• Other Names: Han Yongsheng S. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-05-08
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/402713
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The authors prove that Marcinkiewicz integral operator is not only are bounded onL p, for1 < P < ∞, but also a bounded map fromL 1 ( R n ) to weakL 1 ( R n ) . Meanwhile, theB M O L -boundedness and( H L 1, L 1 ) -boundedness are also obtained. Finally, theL p -boundedness and( L ∞, B M O L ) -boundedness for the commutator of Marcinkiewicz integral of schrödinger type are established.