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Andrea Cianchi

Higher-order Sobolev and Poincaré inequalities in Orlicz spaces

Optimal embeddings for Orlicz-Sobolev spaces of any order into Orlicz spaces and into general rearrangement invariant spaces are established. Related Poincaré inequalities both for compactly supported functions and for arbitrary functions are also derived.

Forum Mathematicum, Walter de Gruyter

Print ISSN: 0933-7741
Volume: 18, 09/2006
Pages: 745 - 767

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