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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a generalized corona problem on the unit disc
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by Jordi Pau PDF
Proc. Amer. Math. Soc. 133 (2005), 167-174 Request permission

Abstract:

Let $g,f_ 1,\dots ,f_ n\in H^{\infty }$. We give a sufficient condition on the size of a function $g$ in order for it to be in the ideal generated by $f_ 1,\dots ,f_ n$. In particular, this improves Cegrell’s result on this problem.
References
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Additional Information
  • Jordi Pau
  • Affiliation: Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
  • MR Author ID: 671438
  • Email: jpau@mat.uab.es
  • Received by editor(s): January 31, 2003
  • Received by editor(s) in revised form: September 10, 2003
  • Published electronically: June 2, 2004
  • Additional Notes: The author is supported by the EU Research Training Network HPRN-CT-$2000$-$00116$, and partially supported by SGR grant $2001$SGR$00431$ and DGICYT grant PB$98$-$0872$
  • Communicated by: Juha M. Heinonen
  • © Copyright 2004 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 167-174
  • MSC (2000): Primary 30D55; Secondary 46J15
  • DOI: https://doi.org/10.1090/S0002-9939-04-07516-1
  • MathSciNet review: 2085166