Hardy inequalities in Orlicz spaces

Cianchi, Andrea

doi:10.1090/S0002-9947-99-01985-6

Hardy inequalities in Orlicz spaces
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by Andrea Cianchi PDF

Trans. Amer. Math. Soc. 351 (1999), 2459-2478 Request permission

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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