Bi-Sobolev Extensions
Koski, A., & Onninen, J. (2023). Bi-Sobolev Extensions. Journal of Geometric Analysis, 33(9), Article 301. https://doi.org/10.1007/s12220-023-01363-1
Julkaistu sarjassa
Journal of Geometric AnalysisPäivämäärä
2023Oppiaine
Analyysin ja dynamiikan tutkimuksen huippuyksikköMatematiikkaAnalysis and Dynamics Research (Centre of Excellence)MathematicsTekijänoikeudet
© The Author(s) 2023
We give a full characterization of circle homeomorphisms which admit a homeomorphic extension to the unit disk with finite bi-Sobolev norm. As a special case, a bi-conformal variant of the famous Beurling–Ahlfors extension theorem is obtained. Furthermore we show that the existing extension techniques such as applying either the harmonic or the Beurling–Ahlfors operator work poorly in the degenerated setting. This also gives an affirmative answer to a question of Karafyllia and Ntalampekos.
Julkaisija
SpringerISSN Hae Julkaisufoorumista
1050-6926Asiasanat
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https://converis.jyu.fi/converis/portal/detail/Publication/183855352
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