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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Composition operators induced by functions with supremum strictly smaller than $ 1$


Author: Nina Zorboska
Journal: Proc. Amer. Math. Soc. 106 (1989), 679-684
MSC: Primary 47B38
DOI: https://doi.org/10.1090/S0002-9939-1989-0953015-4
MathSciNet review: 953015
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Abstract: We give some partial solutions to the following problem. Does a function analytic in the unit disc $ D$ with supremum strictly smaller than 1 , induce a bounded composition operator on all weighted Hardy spaces $ {H^2}(\beta )$.


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DOI: https://doi.org/10.1090/S0002-9939-1989-0953015-4
Keywords: Composition operator, weighted Hardy spaces, trace class operator
Article copyright: © Copyright 1989 American Mathematical Society