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Composition operators between model and Hardy spaces

delete2026-08-01
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PRE
AI
D
Doubtsov, Evgueni *
DOI:10.1007/s41478-026-01087-9delete
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Abstract

Abstract

En 中文
Let n >= 1 and phi: D-n -> D be a holomorphic function, where D denotes the open unit disk of C. Let Theta : D -> D be an inner function and K-Theta(p), p> 0, denote the corresponding model space. We obtain characterizations of the compact composition operators C-phi: K-Theta(2) -> H-2(D-n), n >= 1, and C-phi : K-Theta(p) -> H-p(D-n), 1 p(D-n) denotes the Hardy space.
Keywords:
Composition operators
Hardy spaces
Model spaces
Clark measures
Real interpolation of Banach spaces

Journal

J
JOURNAL OF ANALYSIS
IF:
1.1
Papers:
133
Citations:
0

Organization

R
russian academy of sciences
Scholars:
9.1W
Papers: 6.0W
Citations: 60