6533b824fe1ef96bd1280a20

RESEARCH PRODUCT

Bi-Lipschitz invariance of planar BV- and W1,1-extension domains

Miguel García-bravoTapio RajalaZheng Zhu

subject

Mathematics - Functional AnalysisMathematics - Classical Analysis and ODEsBV-extensionClassical Analysis and ODEs (math.CA)FOS: MathematicsSobolev extension46E35funktionaalianalyysiFunctional Analysis (math.FA)

description

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.

yearjournalcountryeditionlanguage
2021-06-14
http://urn.fi/URN:NBN:fi:jyu-202302011556