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Hardy inequalities in Orlicz spaces. (English) Zbl 0920.46021

Summary: 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 \(G\).

MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
Full Text: DOI

References:

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