Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XVI, Tome 157 (1987), pp. 45-54
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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/
@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/}
}
TY - JOUR
AU - B. Jöricke
TI - On peak sets for Hölder classes (a counterexample to E. M. Dyn'kin's conjecture)
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 45
EP - 54
VL - 157
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a3/
LA - ru
ID - ZNSL_1987_157_a3
ER -
%0 Journal Article
%A B. Jöricke
%T On peak sets for Hölder classes (a counterexample to E. M. Dyn'kin's conjecture)
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 45-54
%V 157
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_157_a3/
%G ru
%F ZNSL_1987_157_a3
We construct a peak set $E\subset\mathbb T$ for the analytic Hölder class $A_\alpha$ ($0<\alpha<1$) such that $\operatorname{dist}(\cdot,E)^{-\alpha}\notin L^1(\mathbb T)$.
