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Izvestiya: Mathematics, 2001, Volume 65, Issue 5, Pages 1017–1039
DOI: https://doi.org/10.1070/IM2001v065n05ABEH000361 (Mi im361) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Dual representation of superlinear functionals and its applications in function theory. II

B. N. Khabibullin

Bashkir State University
English version PDF (266 kB) Citations (22)
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DOI: https://doi.org/10.1070/IM2001v065n05ABEH000361
Abstract: The results of the first part of this work (see [1]) are used only in § 7 of this paper, from which subsequent results follow. We pose new dual problems for weight spaces of holomorphic functions of one and several variables defined on a domain in $\mathbb C^n$, namely, the problem of non-triviality of a given space, description of zero sets, description of sets of (non-)uniqueness, existence of holomorphic functions of certain classes that “suppress” the growth of a given holomorphic function, and representation of meromorphic functions as quotients of holomorphic functions contained in a given space.
Received: 25.06.1997
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2001, Volume 65, Issue 5, Pages 167–190
DOI: https://doi.org/10.4213/im361
Bibliographic databases:
MSC: 47D03, 46A40, 47A20, 47B60, 31B05, 32A30, 30D15, 32U05, 32A15, 31C05
Language: English
Original paper language: Russian
Citation: B. N. Khabibullin, “Dual representation of superlinear functionals and its applications in function theory. II”, Izv. RAN. Ser. Mat., 65:5 (2001), 167–190; Izv. Math., 65:5 (2001), 1017–1039
Citation in format AMSBIB
\Bibitem{Kha01}
\by B.~N.~Khabibullin
\paper Dual representation of superlinear functionals and its applications in function theory.~II
\jour Izv. RAN. Ser. Mat.
\yr 2001
\vol 65
\issue 5
\pages 167--190
\mathnet{http://mi.mathnet.ru/im361}
\crossref{https://doi.org/10.4213/im361}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1874358}
\zmath{https://zbmath.org/?q=an:1052.32004}
\transl
\jour Izv. Math.
\yr 2001
\vol 65
\issue 5
\pages 1017--1039
\crossref{https://doi.org/10.1070/IM2001v065n05ABEH000361}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33747030301}
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    This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:549
    Russian version PDF:230
    English version PDF:33
    References:75
    First page:2
     
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