Malliavin Derivatives in Spaces with Variable Exponents. (3rd April 2014)

• Record Type: Journal Article
• Authors: Xu, Bochi; Fu, Yongqiang; Tian, Boping
• Other Names: Ji Donghai Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2014(2014)
• Publication Date: 2014-04-03
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2014/198060
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Spaces with variable exponentsL p x ( H, μ ) andL p x ( H, μ ; H ) are introduced. After discussing some approximation results ofL p x ( H, μ ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives inL p x ( H, μ ) and discuss some properties of Malliavin derivatives inL p x ( H, μ ) .