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.
On Hardy—Type Inequalities
✍ Scribed by D. E. Edmunds; R. Hurri-Syrjänen
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 379 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
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.
📜 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 .