Strong BV-extension and W1,1-extension domains
نویسندگان
چکیده
We show that a bounded domain in Euclidean space is W1,1-extension if and only it strong BV-extension domain. In the planar case, domains are shown to be exactly those for which set ∂Ω∖⋃iΩ‾i purely 1-unrectifiable, where Ωi open connected components of R2∖Ω‾.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109665