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Journal of Function Spaces
Volume 2014 (2014), Article ID 198060, 5 pages
Research Article

Malliavin Derivatives in Spaces with Variable Exponents

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 22 January 2014; Accepted 13 March 2014; Published 3 April 2014

Academic Editor: Donghai Ji

Copyright © 2014 Bochi Xu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Spaces with variable exponents and are introduced. After discussing some approximation results of , Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in and discuss some properties of Malliavin derivatives in .