Hardy inequalities in Orlicz spaces

Author:
Andrea Cianchi

Journal:
Trans. Amer. Math. Soc. **351** (1999), 2459-2478

MSC (1991):
Primary 46E35; Secondary 46E30

DOI:
https://doi.org/10.1090/S0002-9947-99-01985-6

Published electronically:
January 27, 1999

MathSciNet review:
1433113

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Abstract | References | Similar Articles | Additional Information

Abstract: We establish a sharp extension, in the framework of Orlicz spaces, of the (-dimensional) Hardy inequality, involving functions defined on a domain , their gradients and the distance function from the boundary of .

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Additional Information

**Andrea Cianchi**

Affiliation:
Istituto di Matematica, Facoltà di Architettura, Università di Firenze, Via dell’ Agnolo 14, 50122 Firenze, Italy

Email:
cianchi@cesit1.unifi.it

DOI:
https://doi.org/10.1090/S0002-9947-99-01985-6

Received by editor(s):
May 15, 1996

Received by editor(s) in revised form:
November 15, 1996

Published electronically:
January 27, 1999

Article copyright:
© Copyright 1999
American Mathematical Society