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Hardy inequalities in Orlicz spaces

Author(s): Andrea Cianchi
Journal: Trans. Amer. Math. Soc. 351 (1999), 2459-2478.
MSC (1991): Primary 46E35; Secondary 46E30
Posted: January 27, 1999
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Abstract: We establish a sharp extension, in the framework of Orlicz spaces, of the ($n$-dimensional) Hardy inequality, involving functions defined on a domain $G$, their gradients and the distance function from the boundary of $G$.

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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: 10.1090/S0002-9947-99-01985-6
PII: S 0002-9947(99)01985-6
Received by editor(s): May 15, 1996
Received by editor(s) in revised form: November 15, 1996
Posted: January 27, 1999
Copyright of article: Copyright 1999, American Mathematical Society

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