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A note on the Poincaré inequality

Ranjbar Motlagh, A ; Sharif University of Technology | 2003

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  1. Type of Document: Article
  2. DOI: 10.4064/sm154-1-1
  3. Publisher: Instytut Matematyczny , 2003
  4. Abstract:
  5. The Poincaré inequality is extended to uniformly doubling metric-measure spaces which satisfy a version of the triangle comparison property. The proof is based on a generalization of the change of variables formula
  6. Keywords:
  7. Generalized changed of variables formula ; Poincaré inequality ; Sobolev spaces
  8. Source: Studia Mathematica ; Volume 154, Issue 1 , 2003 , Pages 1-11 ; 00393223 (ISSN)
  9. URL: https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/154/1/90839/a-note-on-the-poincare-inequality