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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 467, Pages 67–72 (Mi znsl6564)  
This article is cited in 1 scientific paper (total in 1 paper)

Extended Cesàro operators between Hardy and Bergman spaces on the complex ball

E. S. Dubtsov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: We characterize those holomorphic symbols $g$ for which the extended Cesàro operator $V_g$ maps the Hardy space $H^p(B)$ into the weighted Bergman space $A^q_\beta(B)$, $0<p<q<\infty$, $\beta>-1$, on the unit ball $B$ of $\mathbb C^d$.
Key words and phrases: Hardy space, Bergman space, extended Cesàro operator.
Received: 27.08.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 6, Pages 867–871
DOI: https://doi.org/10.1007/s10958-019-04586-2
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.98
Language: Russian
Citation: E. S. Dubtsov, “Extended Cesàro operators between Hardy and Bergman spaces on the complex ball”, Investigations on linear operators and function theory. Part 46, Zap. Nauchn. Sem. POMI, 467, POMI, St. Petersburg, 2018, 67–72; J. Math. Sci. (N. Y.), 243:6 (2019), 867–871
Citation in format AMSBIB
\Bibitem{Dub18}
\by E.~S.~Dubtsov
\paper Extended Ces\`aro operators between Hardy and Bergman spaces on the complex ball
\inbook Investigations on linear operators and function theory. Part~46
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 467
\pages 67--72
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6564}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 6
\pages 867--871
\crossref{https://doi.org/10.1007/s10958-019-04586-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075204576}
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  • https://www.mathnet.ru/eng/znsl/v467/p67
    • 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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