A note on the Poincaré inequality

Alireza Ranjbar-Motlagh

Studia Mathematica (2003)

  • Volume: 154, Issue: 1, page 1-11
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Alireza Ranjbar-Motlagh. "A note on the Poincaré inequality." Studia Mathematica 154.1 (2003): 1-11. <http://eudml.org/doc/284404>.

@article{AlirezaRanjbar2003,
abstract = {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.},
author = {Alireza Ranjbar-Motlagh},
journal = {Studia Mathematica},
keywords = {Sobolev spaces on metric spaces; Poincaré inequality},
language = {eng},
number = {1},
pages = {1-11},
title = {A note on the Poincaré inequality},
url = {http://eudml.org/doc/284404},
volume = {154},
year = {2003},
}

TY - JOUR
AU - Alireza Ranjbar-Motlagh
TI - A note on the Poincaré inequality
JO - Studia Mathematica
PY - 2003
VL - 154
IS - 1
SP - 1
EP - 11
AB - 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.
LA - eng
KW - Sobolev spaces on metric spaces; Poincaré inequality
UR - http://eudml.org/doc/284404
ER -

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