Inequalities for BV^\mathbbA -Functions

2021/12/11 by Pascal Steinke, Steinke, Pascal
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations #math.AP #math.FA

paper · pdf · doi:10.48550/arxiv.2112.06019

11 pages, 1 figure

arxiv created 2021/12/11 · openalex publication_date 2021/12/11 · arxiv updated 2021/12/14 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove trace-type Poincaré and Sobolev inequalities for the space of functions of bounded \mathbbA-Variation

Related

• Trace theorems for functions of bounded variation in metric spaces
• Trace and extension theorems for functions of bounded variation
• Traces of Newton-Sobolev, Hajlasz-Sobolev and BV functions on metric spaces
• Balls minimize trace constants in BV
• Trace of BV-functions on irregular subsets