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Composition operators on Hardy spaces of a half-plane. (English) Zbl 0916.47022

Summary: We consider composition operators on Hardy spaces on a half-plane. We mainly study boundedness and compactness. We prove that on these spaces there are no compact composition operators.

MSC:

47B38 Linear operators on function spaces (general)
47B07 Linear operators defined by compactness properties
47B10 Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.)
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