Admissible measures in one dimension

Author:

Björn Jana,Buckley Stephen,Keith Stephen

Abstract

In this note we show that p p\mspace {1mu} -admissible measures in one dimension (i.e. doubling measures admitting a p p\mspace {1mu} -Poincaré inequality) are precisely the Muckenhoupt A p A_p -weights.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Sharp conditions for weighted 1-dimensional Poincaré inequalities;Chua, Seng-Kee;Indiana Univ. Math. J.,2000

2. The local regularity of solutions of degenerate elliptic equations;Fabes, Eugene B.;Comm. Partial Differential Equations,1982

3. Sobolev meets Poincaré;Hajłasz, Piotr;C. R. Acad. Sci. Paris S\'{e}r. I Math.,1995

4. Oxford Mathematical Monographs;Heinonen, Juha,1993

5. Weighted Sobolev and Poincaré inequalities and quasiregular mappings of polynomial type;Heinonen, Juha;Math. Scand.,1995

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