On the decay of singular inner functions
Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 902-905

Voir la notice de l'article provenant de la source Cambridge

DOI

It is known that if $S(z)$ is a non-constant singular inner function defined on the unit disk, then $\min _{|z|\le r}|S(z)|\to 0$ as $r\to 1^-$. We show that the convergence can be arbitrarily slow.
DOI : 10.4153/S0008439520000922
Mots-clés : Singular inner function, Hausdorff measure
Ransford, Thomas. On the decay of singular inner functions. Canadian mathematical bulletin, Tome 64 (2021) no. 4, pp. 902-905. doi: 10.4153/S0008439520000922
@article{10_4153_S0008439520000922,
     author = {Ransford, Thomas},
     title = {On the decay of singular inner functions},
     journal = {Canadian mathematical bulletin},
     pages = {902--905},
     year = {2021},
     volume = {64},
     number = {4},
     doi = {10.4153/S0008439520000922},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000922/}
}
TY  - JOUR
AU  - Ransford, Thomas
TI  - On the decay of singular inner functions
JO  - Canadian mathematical bulletin
PY  - 2021
SP  - 902
EP  - 905
VL  - 64
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000922/
DO  - 10.4153/S0008439520000922
ID  - 10_4153_S0008439520000922
ER  - 
%0 Journal Article
%A Ransford, Thomas
%T On the decay of singular inner functions
%J Canadian mathematical bulletin
%D 2021
%P 902-905
%V 64
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000922/
%R 10.4153/S0008439520000922
%F 10_4153_S0008439520000922

Cité par Sources :