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.
Some Hardy-Type Inequalities
✍ Scribed by Wing-Sum Cheung; Željko Hanjš; Josip Pečarić
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 100 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, some new Hardy-type inequalities involving many functions are obtained. These on the one hand generalize and on the other hand improve some existing results by Isumi and Isumi, Levinson, and Pachpatte on this famous type of inequalities.
📜 SIMILAR VOLUMES
## Abstract We discuss some reversed Hölder inequalities yielding for functions on R~+~ satisfying one or two conditions of quasi‐monotonicity. All cases of equality are pointed out. By using these results and some recent results by the present authors (see [3]), we prove some new reversed inequali
Necessary and sufficient conditions on the weights w and w are given for the 0 higher order Hardy inequality 1r q 1rp p 1 1 q Ž k q 1 .
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.