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.
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| Format: | Article |
| Language: | English |
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KamGU by Vitus Bering
2020-11-01
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| Series: | Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
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| Online Access: | http://krasec.ru/shamoyan323/ |
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Article |
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doaj-e6fb31329e4d42e1bb29c4f2658c7cea2020-11-25T03:06:10ZengKamGU 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Shamoyan, R.F. Tomashevskaya, E.B. |
| spellingShingle |
Shamoyan, R.F. Tomashevskaya, E.B. On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains Vestnik KRAUNC: Fiziko-Matematičeskie Nauki 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 |
| author_facet |
Shamoyan, R.F. Tomashevskaya, E.B. |
| author_sort |
Shamoyan, R.F. |
| title |
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_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_sort |
on new sharp theorems for multifunctional bmoa type spaces in bounded pseudoconvex domains |
| publisher |
KamGU by Vitus Bering |
| series |
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki |
| issn |
2079-6641 2079-665X |
| publishDate |
2020-11-01 |
| 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. |
| 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 |
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1724674832396713984 |