Orlicz-Sobolev inequalities and the doubling condition

DOI10.5186/aasfm.2021.4606zbMath1483.46036arXiv1906.04088OpenAlexW3175881723MaRDI QIDQ4958514

Lyudmila Korobenko

Publication date: 14 September 2021

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04088

zbMATH Keywords

Orlicz spacesSobolev inequalitymetric measure spacesnon-doubling measuredoubling condition

Mathematics Subject Classification ID

Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Related Items

A note on metric-measure spaces supporting Poincaré inequalities, Sobolev embeddings for fractional Hajłasz-Sobolev spaces in the setting of rearrangement invariant spaces, Orlicz-Sobolev embeddings, extensions and Orlicz-Poincaré inequalities, Sobolev embedding for \(M^{1, p}\) spaces is equivalent to a lower bound of the measure

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