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Sbornik: Mathematics, 1999, Volume 190, Issue 2, Pages 309–321
DOI: https://doi.org/10.1070/sm1999v190n02ABEH000387
(Mi sm387)
 

This article is cited in 4 scientific papers (total in 4 papers)

Paley problem for plurisubharmonic functions of finite lower order

B. N. Khabibullin

Bashkir State University
References:
Abstract: For plurisubharmonic functions Cn of lower order λ<+ estimates of the growth of their maximum value on the sphere of radius r with centre at the origin in terms of the growth of the Nevanlinna characteristics T(r,u) are obtained. These estimates are best possible for λ1. The results are new even in the case of functions of the form u=log|f|, where f is an entire function in Cn, n>1.
Received: 26.02.1996 and 16.03.1998
Bibliographic databases:
UDC: 517.555
MSC: 31C10, 32A22
Language: English
Original paper language: Russian
Citation: B. N. Khabibullin, “Paley problem for plurisubharmonic functions of finite lower order”, Sb. Math., 190:2 (1999), 309–321
Citation in format AMSBIB
\Bibitem{Kha99}
\by B.~N.~Khabibullin
\paper Paley problem for plurisubharmonic functions of finite lower order
\jour Sb. Math.
\yr 1999
\vol 190
\issue 2
\pages 309--321
\mathnet{http://mi.mathnet.ru/eng/sm387}
\crossref{https://doi.org/10.1070/sm1999v190n02ABEH000387}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1701004}
\zmath{https://zbmath.org/?q=an:0927.31002}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0033246628}
Linking options:
  • https://www.mathnet.ru/eng/sm387
  • https://doi.org/10.1070/sm1999v190n02ABEH000387
  • https://www.mathnet.ru/eng/sm/v190/i2/p145
  • This publication is cited in the following 4 articles:
    1. Ufa Math. J., 10:3 (2018), 117–130  mathnet  crossref  isi
    2. J. Math. Sci. (N. Y.), 243:6 (2019), 825–834  mathnet  crossref
    3. R. A. Baladai, B. N. Khabibullin, “Tri ekvivalentnye gipotezy ob odnoi otsenke integralov”, Ufimsk. matem. zhurn., 2:3 (2010), 31–38  mathnet  zmath  elib
    4. R. A. Sharipov, “Kontrprimer k gipoteze Khabibullina ob integralnykh neravenstvakh”, Ufimsk. matem. zhurn., 2:4 (2010), 99–107  mathnet  zmath  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:112
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