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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2017, Volume 142, Pages 3–13 (Mi into249)  
This article is cited in 1 scientific paper (total in 1 paper)

Classical operators in weighted Banach spaces of holomorphic functions

A. V. Abaninab, Ph. T. Tienc

a Southern Federal University, Rostov-on-Don
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
c Vietnam National University, Hanoi, Vietnam
Full-text PDF (217 kB) Citations (1)
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01404
Vietnam National University QG.16.08
The work of A. V. Abanin was supported by the Russian Foundation for Basic Research (project № 15-01-01404). The work of P. T. Tien was supported by the Vietnam National University (project № QG. 16. 08).
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 6, Pages 647–657
DOI: https://doi.org/10.1007/s10958-019-04452-1
Bibliographic databases:
Document Type: Article
UDC: 517.547, 517.982
MSC: 47B38, 46E15
Language: Russian
Citation: A. V. Abanin, Ph. T. Tien, “Classical operators in weighted Banach spaces of holomorphic functions”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142, VINITI, M., 2017, 3–13; Journal of Mathematical Sciences, 241:6 (2019), 647–657
Citation in format AMSBIB
\Bibitem{AbaTie17}
\by A.~V.~Abanin, Ph.~T.~Tien
\paper Classical operators in weighted Banach spaces of holomorphic functions
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 142
\pages 3--13
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into249}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801345}
\zmath{https://zbmath.org/?q=an:07123851}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 6
\pages 647--657
\crossref{https://doi.org/10.1007/s10958-019-04452-1}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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