Hardy inequalities in Orlicz spaces
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- by Andrea Cianchi PDF
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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 $G$.References
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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
- Received by editor(s): May 15, 1996
- Received by editor(s) in revised form: November 15, 1996
- Published electronically: January 27, 1999
- © Copyright 1999 American Mathematical Society
- 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
- MathSciNet review: 1433113