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Hardy inequalities in Orlicz spaces
Authors:Andrea Cianchi
Affiliation:Istituto di Matematica, Facoltà di Architettura, Università di Firenze, Via dell' Agnolo 14, 50122 Firenze, Italy
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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