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A Geometrical Version of Hardy's Inequality

✍ Scribed by M. Hoffmann-Ostenhof; T. Hoffmann-Ostenhof; A. Laptev

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
103 KB
Volume
189
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 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