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Composition operators on \(Q_p\) spaces. (English) Zbl 1108.47025

It does not seem easy to give a good condition which would be both necessary and sufficient for the boundedness or compactness of a composition operator from one \(Q_p\) space into another. In this paper, the author gives some relatively concrete conditions in terms of the symbol that are either sufficient or necessary (but not both) in order that the composition operator be bounded or compact between two such spaces.

MSC:

47B33 Linear composition operators
30H05 Spaces of bounded analytic functions of one complex variable
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