A geometrical version of Hardy's inequality for

Author:
Jesper Tidblom

Journal:
Proc. Amer. Math. Soc. **132** (2004), 2265-2271

MSC (2000):
Primary 35P99; Secondary 35P20, 47A75, 47B25

DOI:
https://doi.org/10.1090/S0002-9939-04-07526-4

Published electronically:
March 25, 2004

MathSciNet review:
2052402

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Abstract | References | Similar Articles | Additional Information

Abstract: The aim of this article is to prove a Hardy-type inequality, concerning functions in for some domain , involving the volume of and the distance to the boundary of . The inequality is a generalization of a recently proved inequality by M. Hoffmann-Ostenhof, T. Hoffmann-Ostenhof and A. Laptev (2002), which dealt with the special case .

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Additional Information

**Jesper Tidblom**

Affiliation:
Department of Mathematics, University of Stockholm, 106 91 Stockholm, Sweden

Email:
jespert@math.su.se

DOI:
https://doi.org/10.1090/S0002-9939-04-07526-4

Received by editor(s):
January 28, 2002

Published electronically:
March 25, 2004

Communicated by:
Jonathan M. Borwein

Article copyright:
© Copyright 2004
American Mathematical Society