Classical operators in weighted Banach spaces of holomorphic functions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 142 (2017), pp. 3-13
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We review recent results in the theory of classical operators (embedding, differentiation, and integration) in weighted Banach spaces of holomorphic functions with uniform estimates. We formulate and analyze results based on associated and essential weights.
Keywords:
weighted Banach spaces of holomorphic functions, embedding operator, differentiation operator, integration operator.
@article{INTO_2017_142_a0,
author = {A. V. Abanin and Ph. T. Tien},
title = {Classical operators in weighted {Banach} spaces of holomorphic functions},
journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
pages = {3--13},
year = {2017},
volume = {142},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTO_2017_142_a0/}
}
TY - JOUR AU - A. V. Abanin AU - Ph. T. Tien TI - Classical operators in weighted Banach spaces of holomorphic functions JO - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory PY - 2017 SP - 3 EP - 13 VL - 142 UR - http://geodesic.mathdoc.fr/item/INTO_2017_142_a0/ LA - ru ID - INTO_2017_142_a0 ER -
%0 Journal Article %A A. V. Abanin %A Ph. T. Tien %T Classical operators in weighted Banach spaces of holomorphic functions %J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory %D 2017 %P 3-13 %V 142 %U http://geodesic.mathdoc.fr/item/INTO_2017_142_a0/ %G ru %F INTO_2017_142_a0
A. V. Abanin; Ph. T. Tien. Classical operators in weighted Banach spaces of holomorphic functions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Complex analysis, Tome 142 (2017), pp. 3-13. http://geodesic.mathdoc.fr/item/INTO_2017_142_a0/