We prove an abstract form of Hardy's L 2 inequality, in which the Dirichlet integral is replaced by the Dirichlet form of a general symmetric Markov process. A number of examples are provided.
Hardy's inequality for the stokes problem
β Scribed by Pavel E. Sobolevskii
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 683 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
Sharp constant in generalized Hardy's inequality for the Stokes problem is obtained in the case of arbitrary convex domain in R". It coincides with the same constant in the classical one-dimensional case.
π SIMILAR VOLUMES
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1 . 3 ) and showed that, for a C 2 bounded domain 0, there exists a finite constant \*\*=\*\*(0) such that { J \* =1Γ4, J \* <1Γ4, \\* \*\*, \\*>\*\*. (1.4)