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.
An inequality for the Dirichlet distribution
β Scribed by D. Monhor
- Publisher
- Akadmiai Kiad
- Year
- 1986
- Tongue
- English
- Weight
- 127 KB
- Volume
- 47
- Category
- Article
- ISSN
- 1588-2632
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π SIMILAR VOLUMES
Suppose that the random vector (X 1 , ..., X q ) follows a Dirichlet distribution on R q + with parameter ( p 1 , ..., p q ) # R q + . For f 1 , ..., f q >0, it is well-known that . In this paper, we generalize this expectation formula to the singular and non-singular multivariate Dirichlet distrib
In this paper we study the nonlinear elliptic problem driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality), that is where β¦ β R N is a bounded domain and p : β¦ β R is a continuous function satisfying some given assumptions. The approach used in this pap