학술논문

Bi-Lipschitz invariance of planar $BV$- and $W^{1,1}$-extension domains
Document Type
Working Paper
Source
Subject
Mathematics - Functional Analysis
Mathematics - Classical Analysis and ODEs
46E35
Language
Abstract
We prove that a bi-Lipschitz image of a planar $BV$-extension domain is also a $BV$-extension domain, and that a bi-Lipschitz image of a planar $W^{1,1}$-extension domain is again a $W^{1,1}$-extension domain.
Comment: 8 pages