## Abstract If __L__ is a continuous symmetric __n__‐linear form on a real or complex Hilbert space and \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\widehat{L}$\end{document} is the associated continuous __n__‐homogeneous polynomial, then \documentclass{article}\use
A stronger extension of the hardy inequality
✍ Scribed by Lie-heng Wang; Ya-xiang Yuan
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 309 KB
- Volume
- 270
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
✦ Synopsis
We formulate the Hardy inequality in a special matrix form. Thus we easily obtain a new proof for it. By introducing a slightly perturbed matrix, we establish a stronger inequality.
📜 SIMILAR VOLUMES
We prove a version of Hardy's type inequality in a domain W … R n which involves the distance to the boundary and the volume of W. In particular, we obtain a result which gives a positive answer to a question asked by H. Brezis and M. Marcus.
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## Abstract We prove an optimal Hardy inequality for the fractional Laplacian on the half‐space. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim