Bi-Lipschitz invariance of planar 𝐵𝑉- and 𝑊^{1,1}-extension domains

DOI10.1090/proc/15878OpenAlexW4241668820MaRDI QIDQ3390660

No author found.

Publication date: 25 March 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.07330

zbMATH Keywords

Sobolev extension\(BV\)-extension domain

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Quasiconformal mappings in the complex plane (30C62)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Measure density and extendability of Sobolev functions
• Quasiconformal mappings and extendability of functions in Sobolev spaces
• Sobolev spaces on an arbitrary metric space
• On Sobolev extension domains in \(\mathbb R^n\)
• Sobolev embeddings, extensions and measure density condition
• Pointwise characterizations of Hardy-Sobolev functions
• Holes and maps of Euclidean domains
• A new characterization of the Sobolev space
• Geometric Properties of Planar BV -Extension Domains
• Sobolev Spaces
• Connected components of sets of finite perimeter and applications to image processing

This page was built for publication: Bi-Lipschitz invariance of planar 𝐵𝑉- and 𝑊^{1,1}-extension domains