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