Weak infinite products of Blaschke products
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- by Keiji Izuchi PDF
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Abstract:
We study weak infinite products for sequences of Blaschke products. Using properties of these functions, $F_\sigma$-subsets of zero sets of functions in $H^\infty + C$ are studied. An affirmative answer is given to a problem on prime ideals of $H^\infty + C$ posed by Gorkin and Mortini.References
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Additional Information
- Keiji Izuchi
- Affiliation: Department of Mathematics, Niigata University, Niigata 950-2181, Japan
- Email: izuchi@math.sc.niigata-u.ac.jp
- Received by editor(s): November 8, 1999
- Received by editor(s) in revised form: April 20, 2000
- Published electronically: April 16, 2001
- Additional Notes: Supported by Grant-in-Aid for Scientific Research (No.10440039), Ministry of Education, Science and Culture.
- Communicated by: Albert Baernstein II
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3611-3618
- MSC (2000): Primary 46J15
- DOI: https://doi.org/10.1090/S0002-9939-01-05957-3
- MathSciNet review: 1860494