Marcinkiewicz Integral Operators and Commutators on Herz Spaces with Variable Exponents. (14th October 2014)

• Record Type: Journal Article
• Authors: Wang, Liwei
• Other Names: Fan Dashan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-10-14
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/430365
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Our aim in this paper is to give the boundedness of the Marcinkiewicz integralμ Ω on Herz spacesK ˙ p ( · ) α ( · ), q ( R n ) andK p ( · ) α ( · ), q ( R n ), where the two main indices are variable. Meanwhile, we consider the boundedness of the higher order commutatorμ Ω, b m generated byμ Ω and a functionb in BMO( R n ) on these spaces.