Poincare and Sobolev inequalities in the Monge-Ampere quasi-metric structure

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:487

Article

Maldonado, Diego¹  Ranabhat, Min¹ 

[1] Kansas State Univ, Dept Math, 138 Cardwell Hall, Manhattan, KS 66506 USA

关键词: Poincare inequalities;    Sobolev inequalities;    Quasi-metric spaces;    Doubling measures;    Weighted inequalities;   

DOI  :  10.1016/j.jmaa.2020.123969

来源: Elsevier

【 摘 要 】

We establish a number of Poincare and Sobolev inequalities in the Monge-Ampere quasi-metric structure that are either new or significant improvements upon known ones. As applications we derive a host of new weighted Poincare and Sobolev inequalities. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free