Strong BV-extension and W1,1-extension domains
García-Bravo, M., & Rajala, T. (2022). Strong BV-extension and W1,1-extension domains. Journal of Functional Analysis, 283(10), Article 109665. https://doi.org/10.1016/j.jfa.2022.109665
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Journal of Functional AnalysisDate
2022Discipline
Analyysin ja dynamiikan tutkimuksen huippuyksikköMatematiikkaAnalysis and Dynamics Research (Centre of Excellence)MathematicsCopyright
© 2022 The Author(s). Published by Elsevier Inc.
We show that a bounded domain in a Euclidean space is a W1,1-extension domain if and only if it is a strong BV-extension domain. In the planar case, bounded and strong BV-extension domains are shown to be exactly those BV-extension domains for which the set ∂Ω∖⋃iΩ‾i is purely 1-unrectifiable, where Ωi are the open connected components of R2∖Ω‾.
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0022-1236Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/151045985
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Research Council of FinlandFunding program(s)
Academy Project, AoFAdditional information about funding
The authors acknowledge the support from the Academy of Finland, grant no. 314789License
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