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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Subspaces of de Branges spaces with prescribed growth
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by A. Baranov and H. Woracek
St. Petersburg Math. J. 18 (2007), 699-716
DOI: https://doi.org/10.1090/S1061-0022-07-00969-7
Published electronically: August 9, 2007

Abstract:

The growth properties of de Branges spaces and their subspaces are studied. It is shown that, for each given pair of growth functions $\lambda (r)=O(r)$ and $\lambda _1=o(\lambda )$, there exist de Branges spaces of growth $\lambda$ that have a de Branges subspace of growth $\lambda _1$. This phenomenon cannot occur for a class of de Branges spaces that, in a certain sense, behave regularly along the real axis.
References
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Bibliographic Information
  • A. Baranov
  • Affiliation: Department of Mathematics and Mechanics, St. Petersburg State University, Universitetskiĭ Prospect 28, Staryĭ Peterhof, St. Petersburg 198504, Russia
  • Email: antonbaranov@netscape.net
  • H. Woracek
  • Affiliation: Institute of Mathematics, Royal Institute of Technology (KTH), SE-100, 44, Stockholm, Sweden
  • Address at time of publication: Institut für Analysis und Scientific Computing, Technische Universität Wien, Wiedner Hauptstr. 8-10/101, A-1040, Wien, Austria
  • Email: harald.woracek@tuwien.ac.at
  • Received by editor(s): April 22, 2006
  • Published electronically: August 9, 2007
  • © Copyright 2007 American Mathematical Society
  • Journal: St. Petersburg Math. J. 18 (2007), 699-716
  • MSC (2000): Primary 46E20; Secondary 46E22, 30D15
  • DOI: https://doi.org/10.1090/S1061-0022-07-00969-7
  • MathSciNet review: 2301039