Optimal embeddings for Orlicz-Sobolev spaces of any order into Orlicz spaces and into general rearrangement invariant spaces are established. Related Poincare inequalities both for compactly supported functions and for arbitrary functions are also derived.
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces / A. CIANCHI. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - STAMPA. - 18:(2006), pp. 745-767. [10.1515/FORUM.2006.037]
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces
CIANCHI, ANDREA
2006
Abstract
Optimal embeddings for Orlicz-Sobolev spaces of any order into Orlicz spaces and into general rearrangement invariant spaces are established. Related Poincare inequalities both for compactly supported functions and for arbitrary functions are also derived.
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