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Zapiski Nauchnykh Seminarov LOMI, 1987, Volume 157, Pages 45–54 (Mi znsl5191)  
On peak sets for Hölder classes (a counterexample to E. M. Dyn'kin's conjecture)

B. Jöricke
Full-text PDF (401 kB)
Abstract: We construct a peak set $E\subset\mathbb T$ for the analytic Hölder class $A_\alpha$ ($0<\alpha<1$) such that $\operatorname{dist}(\cdot,E)^{-\alpha}\notin L^1(\mathbb T)$.
Document Type: Article
UDC: 517.85
Language: Russian
Citation: B. Jöricke, “On peak sets for Hölder classes (a counterexample to E. M. Dyn'kin's conjecture)”, Investigations on linear operators and function theory. Part XVI, Zap. Nauchn. Sem. LOMI, 157, "Nauka", Leningrad. Otdel., Leningrad, 1987, 45–54
Citation in format AMSBIB
\Bibitem{Jor87}
\by B.~J\"oricke
\paper On peak sets for H\"older classes (a~counterexample to E.~M.~Dyn'kin's conjecture)
\inbook Investigations on linear operators and function theory. Part~XVI
\serial Zap. Nauchn. Sem. LOMI
\yr 1987
\vol 157
\pages 45--54
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5191}
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