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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the boundary behaviour of functions orthogonal to invariant subspaces


Author: Kar Koi Leung
Journal: Trans. Amer. Math. Soc. 244 (1978), 67-84
MSC: Primary 30D55
MathSciNet review: 506610
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Abstract: In this paper we study the relationship between the boundary behaviour of functions in the orthogonal subspace of the invariant subspace $ \varphi {H^2}$ and the boundary behaviour of the inner function $ \varphi $ itself.


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DOI: https://doi.org/10.1090/S0002-9947-1978-0506610-8
Keywords: $ {H^p}$ spaces, boundary behaviour, kernel functions, orthogonal invariant subspaces, Blaschke products
Article copyright: © Copyright 1978 American Mathematical Society