Equivalent definitions of BV space and of total variation on metric measure spaces

Author:

Ambrosio Luigi,Di Marino Simone

Funder

European Research Council

Ministero dell’Istruzione, dell’Università e della Ricerca

Publisher

Elsevier BV

Subject

Analysis

Reference23 articles.

1. Functions of Bounded Variation and Free Discontinuity Problems;Ambrosio,2000

2. Gradient Flows in Metric Spaces and in the Space of Probability Measures;Ambrosio,2008

3. Calculus and heat flows in metric measure spaces with Ricci curvature bounded from below;Ambrosio;Invent. Math.,2014

4. Metric measure spaces with Riemannian Ricci curvature bounded from below;Ambrosio;Duke Math. J.,2014

5. Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces;Ambrosio;Rev. Mat. Iberoam.,2013

Cited by 78 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Sharp log-Sobolev inequalities in CD(0,N) spaces with applications;Journal of Functional Analysis;2024-01

2. The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces;Advances in Nonlinear Analysis;2024-01-01

3. The Cheeger problem in abstract measure spaces;Journal of the London Mathematical Society;2023-12-26

4. The Cheeger cut and Cheeger problem in metric measure spaces;Nonlinear Differential Equations and Applications NoDEA;2023-12-13

5. Calculus and Fine Properties of Functions of Bounded Variation on RCD Spaces;The Journal of Geometric Analysis;2023-10-30

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3