Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems

This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding theorems, Taylor coefficients). Previously in one d...

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Autor principal:	Shamoyan, R.F.
Formato:	article
Lenguaje:	EN RU
Publicado:	KamGU by Vitus Bering 2021
Materias:	polydisk unit ball taylor coefficients integral operators analytic functions analytic spaces area nevanlinna type spaces tubular domain pseudoconvex domain isometries boundary behaviour полидиск шар классы типа неванлинны аналитические функции теоремы вложения коэффициенты тэйлора изометрии интегральные операторы характеристика типа неванлинны трубчатые и псевдовыпуклые области Science Q
Acceso en línea:	https://doaj.org/article/731e777034694814aeca6fdbc907fc86
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spelling	oai:doaj.org-article:731e777034694814aeca6fdbc907fc862021-11-10T10:41:03ZIntegral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems2079-66412079-665X10.26117/2079-6641-2021-36-3-40-64https://doaj.org/article/731e777034694814aeca6fdbc907fc862021-11-01T00:00:00Zhttp://krasec.ru/shamoyan363021/https://doaj.org/toc/2079-6641https://doaj.org/toc/2079-665XThis paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding theorems, Taylor coefficients). Previously in one dimension all these results were known. New open interesting Problems in this new research area will be also discussed and indicated.Shamoyan, R.F.KamGU by Vitus Beringarticlepolydiskunit balltaylor coefficientsintegral operatorsanalytic functionsanalytic spacesarea nevanlinna type spacestubular domainpseudoconvex domainisometriesboundary behaviourполидискшарклассы типа неванлинныаналитические функциитеоремы вложениякоэффициенты тэйлораизометрииинтегральные операторыхарактеристика типа неванлиннытрубчатые и псевдовыпуклые областиScienceQENRUVestnik KRAUNC: Fiziko-Matematičeskie Nauki, Vol 2021, Iss 3, Pp 40-64 (2021)
institution	DOAJ
collection	DOAJ
language	EN RU
topic	polydisk unit ball taylor coefficients integral operators analytic functions analytic spaces area nevanlinna type spaces tubular domain pseudoconvex domain isometries boundary behaviour полидиск шар классы типа неванлинны аналитические функции теоремы вложения коэффициенты тэйлора изометрии интегральные операторы характеристика типа неванлинны трубчатые и псевдовыпуклые области Science Q
spellingShingle	polydisk unit ball taylor coefficients integral operators analytic functions analytic spaces area nevanlinna type spaces tubular domain pseudoconvex domain isometries boundary behaviour полидиск шар классы типа неванлинны аналитические функции теоремы вложения коэффициенты тэйлора изометрии интегральные операторы характеристика типа неванлинны трубчатые и псевдовыпуклые области Science Q Shamoyan, R.F. Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems
description	This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding theorems, Taylor coefficients). Previously in one dimension all these results were known. New open interesting Problems in this new research area will be also discussed and indicated.
format	article
author	Shamoyan, R.F.
author_facet	Shamoyan, R.F.
author_sort	Shamoyan, R.F.
title	Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems
title_short	Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems
title_full	Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems
title_fullStr	Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems
title_full_unstemmed	Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems
title_sort	integral operators, embedding theorems, taylor coefficients, isometries, boundary behaviour of area-nevanlinna type spaces in higher dimension and related problems
publisher	KamGU by Vitus Bering
publishDate	2021
url	https://doaj.org/article/731e777034694814aeca6fdbc907fc86
work_keys_str_mv	AT shamoyanrf integraloperatorsembeddingtheoremstaylorcoefficientsisometriesboundarybehaviourofareanevanlinnatypespacesinhigherdimensionandrelatedproblems
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Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems

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