On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains

We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.

Bibliographic Details
Published in:Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
Main Authors: Shamoyan, R.F., Tomashevskaya, E.B.
Format: Article
Language:English
Published: KamGU by Vitus Bering 2020-11-01
Subjects:
Online Access:http://krasec.ru/shamoyan323/
_version_ 1856938222335033344
author Shamoyan, R.F.
Tomashevskaya, E.B.
author_facet Shamoyan, R.F.
Tomashevskaya, E.B.
author_sort Shamoyan, R.F.
collection DOAJ
container_title Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
description We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.
format Article
id doaj-art-e6fb31329e4d42e1bb29c4f2658c7cea
institution Directory of Open Access Journals
issn 2079-6641
2079-665X
language English
publishDate 2020-11-01
publisher KamGU by Vitus Bering
record_format Article
spelling doaj-art-e6fb31329e4d42e1bb29c4f2658c7cea2025-08-19T20:11:05ZengKamGU by Vitus BeringVestnik KRAUNC: Fiziko-Matematičeskie Nauki2079-66412079-665X2020-11-012020310211310.26117/2079-6641-2020-32-3-102-11310.26117/2079-6641-2020-32-3-102-113On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domainsShamoyan, R.F.0Tomashevskaya, E.B.1Department of Mathematical Analysis, Bryansk State University named after Academician I. G. PetrovskyBryansk State Technical University, Department of MathematicsWe provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.http://krasec.ru/shamoyan323/unit ballanalytic functionsanalytic spacespseudoconvex domainhardy spacesbergman spacesbmoa type spacesединичный шараналитические функциианалитические пространствапсевдовыпуклая областьпространства хардипространства бергманапространства типа bmoa
spellingShingle Shamoyan, R.F.
Tomashevskaya, E.B.
On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
unit ball
analytic functions
analytic spaces
pseudoconvex domain
hardy spaces
bergman spaces
bmoa type spaces
единичный шар
аналитические функции
аналитические пространства
псевдовыпуклая область
пространства харди
пространства бергмана
пространства типа bmoa
title On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
title_full On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
title_fullStr On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
title_full_unstemmed On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
title_short On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
title_sort on new sharp theorems for multifunctional bmoa type spaces in bounded pseudoconvex domains
topic unit ball
analytic functions
analytic spaces
pseudoconvex domain
hardy spaces
bergman spaces
bmoa type spaces
единичный шар
аналитические функции
аналитические пространства
псевдовыпуклая область
пространства харди
пространства бергмана
пространства типа bmoa
url http://krasec.ru/shamoyan323/
work_keys_str_mv AT shamoyanrf onnewsharptheoremsformultifunctionalbmoatypespacesinboundedpseudoconvexdomains
AT tomashevskayaeb onnewsharptheoremsformultifunctionalbmoatypespacesinboundedpseudoconvexdomains