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 |
| Published: |
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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| Summary: | 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). |
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| ISSN: | 2314-8896 2314-8888 |