Sobolev-type spaces from generalized Poincaré inequalities

DOI10.4064/SM181-1-1zbMath1129.46026OpenAlexW2017025190WikidataQ109992708 ScholiaQ109992708MaRDI QIDQ5293329

Pekka Koskela, Heli Tuominen, Toni Heikkinen

Publication date: 29 June 2007

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm181-1-1

zbMATH Keywords

Sobolev spacesPoincaré inequalityupper gradient

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) Inequalities involving derivatives and differential and integral operators (26D10)

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