New Sobolev spaces via generalized Poincaré inequalities on metric measure spaces

DOI10.1007/s11464-006-0021-yzbMath1222.42028OpenAlexW1575018994MaRDI QIDQ5895027

Da Chun Yang, Li Xin Yan

Publication date: 12 October 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-006-0021-y

zbMATH Keywords

Sobolev spaceembedding theoremPoincaré inequalityapproximation of the identityspace of homogeneous typesharp maximal functionHajłasz-Sobolev space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Cites Work

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