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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 447, Pages 51–65 (Mi znsl6293)  
This article is cited in 1 scientific paper (total in 1 paper)

Composition operators between Bloch and $\mathrm{BMOA}$ spaces on polydisks

E. S. Dubtsov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (230 kB) Citations (1)
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Abstract: Let $\varphi$ be a holomorphic map between polydisks. We characterize those $\varphi$ for which the composition operator $f\mapsto f\circ\varphi$ maps the Bloch space into the small $\mathrm{BMOA}$ space.
Key words and phrases: Bloch space, small BMOA, composition operator.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00198-a
Received: 25.07.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 5, Pages 518–527
DOI: https://doi.org/10.1007/s10958-018-3694-3
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.98
Language: Russian
Citation: E. S. Dubtsov, “Composition operators between Bloch and $\mathrm{BMOA}$ spaces on polydisks”, Investigations on linear operators and function theory. Part 44, Zap. Nauchn. Sem. POMI, 447, POMI, St. Petersburg, 2016, 51–65; J. Math. Sci. (N. Y.), 229:5 (2018), 518–527
Citation in format AMSBIB
\Bibitem{Dub16}
\by E.~S.~Dubtsov
\paper Composition operators between Bloch and $\mathrm{BMOA}$ spaces on polydisks
\inbook Investigations on linear operators and function theory. Part~44
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 447
\pages 51--65
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6293}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580161}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 5
\pages 518--527
\crossref{https://doi.org/10.1007/s10958-018-3694-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85041513496}
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  • https://www.mathnet.ru/eng/znsl/v447/p51
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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