Characterizations of Orlicz-Sobolev spaces by means of generalized Orlicz-Poincaré inequalities

DOI10.1155/2012/426067zbMath1248.46026OpenAlexW2051610009WikidataQ58908257 ScholiaQ58908257MaRDI QIDQ416322

Toni Heikkinen

Publication date: 10 May 2012

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/426067

zbMATH Keywords

Orlicz-Sobolev spacePoincaré inequalitymetric measure space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

Differentiability and Poincaré-type inequalities in metric measure spaces ⋮ Mappings generating embedding operators in Orlicz-Sobolev spaces ⋮ Is an Orlicz-Poincaré inequality an open ended condition, and what does that mean? ⋮ A density result on Orlicz-Sobolev spaces in the plane

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