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ArticleOriginal scientific text

Title

How to get rid of one of the weights in a two-weight Poincaré inequality?

Authors 1, 2

Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato, 5, I-40127 Bologna, Italy
  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

We prove that if a Poincaré inequality with two different weights holds on every ball, then a Poincaré inequality with the same weight on both sides holds as well.

Keywords

ENG
weights, doubling measures, metric spaces, Poincaré inequality

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Annales Polonici Mathematici
2000/74/1
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Pages:
97-103
Main language of publication
English
Received
1999-04-30
Accepted
1999-07-20
Published
2000
Exact and natural sciences