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Algebra i Analiz, 2009, Volume 21, Issue 6, Pages 3–46 (Mi aa1161)  
This article is cited in 5 scientific papers (total in 5 papers)

Research Papers

Majorization in de Branges spaces. III. Division by Blaschke products

A. Baranova, H. Woracekb

a Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
b Institut für Analysis und Scientific Computing, Technische Universität Wien, Wien, Austria
Full-text PDF (452 kB) Citations (5)
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Abstract: This paper is a part of a series dealing with subspaces of de Branges spaces of entire functions generated by majorization on subsets of the closed upper half-plane. In the present, third, part the study of a certain Banach space generated by an admissible majorant is continued. The main theme is “invariance of the unit ball with respect to division by Blaschke products”. In connection with this topic, representability via special types of majorants plays an important role. Some (positive and negative) results on invariance under division by Blaschke factors are obtained, and the unit balls representable by $\log$-superharmonic majorants are characterized.
Keywords: de Branges subspace, majorant, subharmonic function, Blaschke product.
Received: 22.09.2009
English version:
St. Petersburg Mathematical Journal, 2010, Volume 21, Issue 6, Pages 843–875
DOI: https://doi.org/10.1090/S1061-0022-2010-01122-1
Bibliographic databases:
Document Type: Article
MSC: 46E15, 46E22, 30J10
Language: English
Citation: A. Baranov, H. Woracek, “Majorization in de Branges spaces. III. Division by Blaschke products”, Algebra i Analiz, 21:6 (2009), 3–46; St. Petersburg Math. J., 21:6 (2010), 843–875
Citation in format AMSBIB
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\jour Algebra i Analiz
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\pages 843--875
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    References:69
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