Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2022), pp. 57-64
Voir la notice de l'article provenant de la source Math-Net.Ru
The purpose of this paper is to study a certain class of functional sequences and apply the results obtained to the description of functional spaces of analytic functions with mixed norm on the unit disk of the complex plane, defined in terms of conditions on the Fourier coefficients.
Keywords:
spaces with mixed norm, spaces of analytic functions.
@article{IVM_2022_1_a4,
author = {A. N. Karapetyants and I. Yu. Smirnova},
title = {Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the {Fourier} coefficients},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {57--64},
publisher = {mathdoc},
number = {1},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2022_1_a4/}
}
TY - JOUR AU - A. N. Karapetyants AU - I. Yu. Smirnova TI - Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2022 SP - 57 EP - 64 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2022_1_a4/ LA - ru ID - IVM_2022_1_a4 ER -
%0 Journal Article %A A. N. Karapetyants %A I. Yu. Smirnova %T Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2022 %P 57-64 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2022_1_a4/ %G ru %F IVM_2022_1_a4
A. N. Karapetyants; I. Yu. Smirnova. Characterization of weighted mixed norm spaces of analytic functions defined in terms of conditions on the Fourier coefficients. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2022), pp. 57-64. http://geodesic.mathdoc.fr/item/IVM_2022_1_a4/