Malliavin Derivatives in Spaces with Variable Exponents
Spaces with variable exponents Lpx(H,μ) and Lpx(H,μ;H) are introduced. After discussing some approximation results of Lpx(H,μ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in Lpx(H,μ) and discuss some properties of Malliavin derivatives in Lpx...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/198060 |
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| _version_ | 1850159311790014464 |
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| author | Bochi Xu Yongqiang Fu Boping Tian |
| author_facet | Bochi Xu Yongqiang Fu Boping Tian |
| author_sort | Bochi Xu |
| collection | DOAJ |
| description | Spaces with variable exponents Lpx(H,μ) and Lpx(H,μ;H) are
introduced. After discussing some approximation results of Lpx(H,μ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in Lpx(H,μ) and discuss some properties of Malliavin derivatives in Lpx(H,μ). |
| format | Article |
| id | doaj-art-b183ff112c014925ad85e964b4491e2f |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b183ff112c014925ad85e964b4491e2f2025-08-20T02:23:35ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/198060198060Malliavin Derivatives in Spaces with Variable ExponentsBochi Xu0Yongqiang Fu1Boping Tian2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaSpaces with variable exponents Lpx(H,μ) and Lpx(H,μ;H) are introduced. After discussing some approximation results of Lpx(H,μ), Sobolev spaces on H with variable exponents are introduced. At last, we define Malliavin derivatives in Lpx(H,μ) and discuss some properties of Malliavin derivatives in Lpx(H,μ).http://dx.doi.org/10.1155/2014/198060 |
| spellingShingle | Bochi Xu Yongqiang Fu Boping Tian Malliavin Derivatives in Spaces with Variable Exponents Journal of Function Spaces |
| title | Malliavin Derivatives in Spaces with Variable Exponents |
| title_full | Malliavin Derivatives in Spaces with Variable Exponents |
| title_fullStr | Malliavin Derivatives in Spaces with Variable Exponents |
| title_full_unstemmed | Malliavin Derivatives in Spaces with Variable Exponents |
| title_short | Malliavin Derivatives in Spaces with Variable Exponents |
| title_sort | malliavin derivatives in spaces with variable exponents |
| url | http://dx.doi.org/10.1155/2014/198060 |
| work_keys_str_mv | AT bochixu malliavinderivativesinspaceswithvariableexponents AT yongqiangfu malliavinderivativesinspaceswithvariableexponents AT bopingtian malliavinderivativesinspaceswithvariableexponents |