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Representing systems of reproducing kernels in spaces of analytic functions. / Баранов, Антон Дмитриевич; Батенёв, Тимур Геннадьевич.

In: Results in Mathematics, Vol. 78, No. 4, 143, 01.08.2023.

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@article{3651f26eeeb8429ab28fa7b52c3ac771,
title = "Representing systems of reproducing kernels in spaces of analytic functions",
abstract = "We give an elementary construction of representing systems of the Cauchy kernels in the Hardy spaces Hp , 1 ≤ p< ∞ , as well as of representing systems of reproducing kernels in weighted Hardy spaces.",
keywords = "пространство Харди, ядро Коши, представляющая система, Hardy space, representing system, reproducing kernel, weighted Hardy space",
author = "Баранов, {Антон Дмитриевич} and Батенёв, {Тимур Геннадьевич}",
year = "2023",
month = aug,
day = "1",
doi = "10.1007/s00025-023-01915-5",
language = "English",
volume = "78",
journal = "Results in Mathematics",
issn = "1422-6383",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Representing systems of reproducing kernels in spaces of analytic functions

AU - Баранов, Антон Дмитриевич

AU - Батенёв, Тимур Геннадьевич

PY - 2023/8/1

Y1 - 2023/8/1

N2 - We give an elementary construction of representing systems of the Cauchy kernels in the Hardy spaces Hp , 1 ≤ p< ∞ , as well as of representing systems of reproducing kernels in weighted Hardy spaces.

AB - We give an elementary construction of representing systems of the Cauchy kernels in the Hardy spaces Hp , 1 ≤ p< ∞ , as well as of representing systems of reproducing kernels in weighted Hardy spaces.

KW - пространство Харди, ядро Коши, представляющая система

KW - Hardy space

KW - representing system

KW - reproducing kernel

KW - weighted Hardy space

UR - https://link.springer.com/article/10.1007/s00025-023-01915-5

UR - https://www.mendeley.com/catalogue/53ac8220-852f-38d5-8361-ed62cf3bd79a/

U2 - 10.1007/s00025-023-01915-5

DO - 10.1007/s00025-023-01915-5

M3 - Article

VL - 78

JO - Results in Mathematics

JF - Results in Mathematics

SN - 1422-6383

IS - 4

M1 - 143

ER -

ID: 115315361