Weak infinite products of Blaschke products

Izuchi, Keiji

doi:10.1090/S0002-9939-01-05957-3

Weak infinite products of Blaschke products
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Proc. Amer. Math. Soc. 129 (2001), 3611-3618 Request permission

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.

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