Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 350-363
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N. A. Shirokov. An example of a fast decaying $(p,A)$-lacunary function. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 28, Tome 270 (2000), pp. 350-363. http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a18/
@article{ZNSL_2000_270_a18,
author = {N. A. Shirokov},
title = {An example of a fast decaying $(p,A)$-lacunary function},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {350--363},
year = {2000},
volume = {270},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a18/}
}
TY - JOUR
AU - N. A. Shirokov
TI - An example of a fast decaying $(p,A)$-lacunary function
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 350
EP - 363
VL - 270
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a18/
LA - ru
ID - ZNSL_2000_270_a18
ER -
%0 Journal Article
%A N. A. Shirokov
%T An example of a fast decaying $(p,A)$-lacunary function
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 350-363
%V 270
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_270_a18/
%G ru
%F ZNSL_2000_270_a18
A function $f(z)=\sum^\infty_{k=0}a_kz^{n_k}$ analytic in the unit disc is said be $(p,A)$-lacunary if $n_k\ge Ak^p$, $1, $A>0$ for all $k\ge0$. For $1, $A>0$, a $(p,A)$-lacunary function $f_{1,p,A}(z)$ is constructed that decays as $x\to1-0$ almost optimally.
