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An Orlicz-Besov Poincaré inequality via John domains

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Publication:1733841
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DOI10.1155/2019/5234507zbMath1420.46033OpenAlexW2906864642MaRDI QIDQ1733841

Hongyan Sun

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1155/2019/5234507


zbMATH Keywords

John domainOrlicz-Besov Poincaré inequalityOrlicz-Besov space


Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)




Cites Work

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  • Criteria for optimal global integrability of Hajłasz-Sobolev functions
  • On fractional Poincaré inequalities
  • On improved fractional Sobolev-Poincaré inequalities
  • John disks
  • Sobolev-Poincaré implies John
  • Orlicz spaces and the large scale geometry of Heintze groups
  • Sobolev embeddings, extensions and measure density condition
  • Characterizations of Besov and Triebel–Lizorkin spaces on metric measure spaces
  • Injectivity theorems in plane and space


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