Singular inner functions of L^1-type II

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概要

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• In the first paper of the same title, we introduced the concept of singular inner functions of L<SUP>1</SUP>-type and obtained results for singular inner functions which are reminiscent of the results for weak infinite powers of Blaschke products. In this paper, we investigate singular inner functions for discrete measures. We give equivalent conditions on a measure for which it is a Blaschke type. And we prove that two discrete measures are mutually singular if and only if the associated common zero sets of singular inner functions of l<SUB>+</SUB><SUP>∞</SUP>-type do not meet.

• 社団法人 日本数学会の論文

著者

• Keiji Izuchi

  Department Of Mathematics Niigata University

• IZUCHI Keiji

  Department of Mathematics Kanagawa University

関連論文

• Weak projections on unital commutative C^*-algebras
• Interpolating sequences in the maximal ideal space of H∞
• Singular inner functions of L^1-type II
• Essential norms of differences of composition operators on H^∞
• TOPOLOGIES ON GROUPS AND A CERTAIN L-IDEAL OF MEASURE ALGEBRAS

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