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Algebra i Analiz, 2009, Volume 21, Issue 6, Pages 47–65 (Mi aa1162)  
This article is cited in 9 scientific papers (total in 9 papers)

Research Papers

Radial growth of functions in the Korenblum space

A. Boricheva, Yu. Lyubarskiĭb, E. Malinnikovab, P. Thomasc

a Université Aix-Marseille, Marseille, France
b Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
c Université Paul Sabatier, Touluose, France
Full-text PDF (295 kB) Citations (9)
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Abstract: The radial behavior of analytic and harmonic functions that admit a certain majorant in the unit disk is studied. We prove that the extremal growth or decay may occur only along small sets of radii and give precise estimates for these exceptional sets.
Keywords: spaces of analytic functions in the disk, harmonic functions, boundary values, Korenblum spaces.
Received: 27.03.2009
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 6, Pages 877–891
DOI: https://doi.org/10.1090/S1061-0022-2010-01123-3
Bibliographic databases:
Document Type: Article
MSC: 30J99, 31A20
Language: English
Citation: A. Borichev, Yu. Lyubarskiǐ, E. Malinnikova, P. Thomas, “Radial growth of functions in the Korenblum space”, Algebra i Analiz, 21:6 (2009), 47–65; St. Petersburg Math. J., 21:6 (2010), 877–891
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:503
    Full-text PDF :127
    References:49
    First page:28
     
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