Weak infinite products of Blaschke products

Author:
Keiji Izuchi

Journal:
Proc. Amer. Math. Soc. **129** (2001), 3611-3618

MSC (2000):
Primary 46J15

DOI:
https://doi.org/10.1090/S0002-9939-01-05957-3

Published electronically:
April 16, 2001

MathSciNet review:
1860494

Full-text PDF

Abstract | References | Similar Articles | Additional Information

We study weak infinite products for sequences of Blaschke products. Using properties of these functions, -subsets of zero sets of functions in are studied. An affirmative answer is given to a problem on prime ideals of posed by Gorkin and Mortini.

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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

DOI:
https://doi.org/10.1090/S0002-9939-01-05957-3

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

Article copyright:
© Copyright 2001
American Mathematical Society