On Hardy's Inequality
β Scribed by Yang Bicheng
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 63 KB
- Volume
- 234
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
We show that certain Hardy-type inequalities hold in plump domains and domains with a Whitney cube #-condition. 1991 Mathematics Subject Classification. 46E35, 26D 10.
This paper deals with some new generalizations of Hardy's integral inequality. An improvement of some inequality is also presented.
In this paper we establish some new generalizations of the Hardy's inequality by using a fairly elementary analysis. The inequalities given here contain in the special cases, some of the recent generalizations of Hardy's integral inequality appearing in the literature.
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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.