A note on polynomial approximation in Sobolev spaces
Rüdiger Verfürth (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “ A note on polynomial approximation in Sobolev spaces”
A note on polynomial approximation in Sobolev spaces
A note on Costara's paper
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains
Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Exhaustions of John domains.
Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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A sharp iteration principle for higher-order Sobolev embeddings
Andrea Cianchi, Luboš Pick, Lenka Slavíková (2014)
Banach Center Publications
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We survey results from the paper [CPS] in which we developed a new sharp iteration method and applied it to show that the optimal Sobolev embeddings of any order can be derived from isoperimetric inequalities. We prove thereby that the well-known link between first-order Sobolev embeddings and isoperimetric inequalities translates to embeddings of any order, a fact that had not been known before. We show a general reduction principle that reduces Sobolev type inequalities of any order...
On distinguished representative domains
Stefan Bergman (1977)
Annales Polonici Mathematici
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Some envelopes of holomorphy
Edgar Lee Stout (2009)
Annales Polonici Mathematici
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We construct some envelopes of holomorphy that are not equivalent to domains in ℂⁿ.
Corrigenda to: "Optimal domains for the kernel operator associated with Sobolev's inequality" (Studia Math. 158 (2003), 131-152)
Guillermo P. Curbera, Werner J. Ricker (2005)
Studia Mathematica
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Bounce trajectories in plane tubular domains
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.
Bounce trajectories in plane tubular domains
Roberto Peirone (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We state that in opportune tubular domains any two points are connected by a bounce trajectory and that there exist non-trivial periodic bounce trajectories.