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Bi-Lipschitz invariance of planar $BV$- and $W^{1,1}$-extension domains
- Publication Year :
- 2021
-
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.<br />Comment: 8 pages
- Subjects :
- Mathematics - Functional Analysis
Mathematics - Classical Analysis and ODEs
46E35
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2106.07330
- Document Type :
- Working Paper