Derivative-free characterizations of compact generalized composition operators between Zygmund type spaces. (English) Zbl 1188.47025
Summary: We give derivative-free characterizations for bounded and compact generalized composition operators between (little) Zygmund type spaces. To obtain these results, we extend M.Pavlović’s corresponding result for bounded composition operators between analytic Lipschitz spaces [Math.Z.258, No.1, 81–86 (2008; Zbl 1124.47017)].
MSC:
47B38 | Linear operators on function spaces (general) |
47B33 | Linear composition operators |
30H99 | Spaces and algebras of analytic functions of one complex variable |
46E15 | Banach spaces of continuous, differentiable or analytic functions |
Keywords:
Zygmund spaces; Lipschitz spaces; weighted composition operators; generalized composition operatorsCitations:
Zbl 1124.47017References:
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