Sobolev, BV and perimeter extensions in metric measure spaces

DOI10.54330/AFM.143899zbMATH Open1543.30174MaRDI QIDQ6562482

Emanuele Caputo, Tapio Rajala, Jesse Koivu

Publication date: 26 June 2024

Published in: Annales Fennici Mathematici (Search for Journal in Brave)

zbMATH Keywords

sets of finite perimetermetric measure spaceSobolev extensionBV-extension

Mathematics Subject Classification ID

Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

Cites Work

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• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
• A note on the extension of BV functions in metric measure spaces
• Sobolev embeddings, extensions and measure density condition
• Sobolev met Poincaré
• Geometric Properties of Planar BV -Extension Domains
• Sobolev Spaces

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