Geodesic
On peak sets for Hölder classes (a counterexample to E. M. Dyn'kin's conjecture)
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 45-54 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a peak set $E\subset\mathbb T$ for the analytic Hölder class $A_\alpha$ ($0<\alpha<1$) such that $\operatorname{dist}(\cdot,E)^{-\alpha}\notin L^1(\mathbb T)$. 
@article{ZNSL_1987_157_a3,
     author = {B. J\"oricke},
     title = {On peak sets for {H\"older} classes (a~counterexample to {E.~M.~Dyn'kin's} conjecture)},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {45--54},
     year = {1987},
     volume = {157},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a3/}
}
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%A B. Jöricke
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%J Zapiski Nauchnykh Seminarov POMI
%D 1987
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%V 157
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a3/
%G ru
%F ZNSL_1987_157_a3
B. Jöricke. On peak sets for Hölder classes (a counterexample to E. M. Dyn'kin's conjecture). Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 45-54. http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a3/