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Essential norms of weighted composition operators between Zygmund-type spaces and Bloch-type spaces. (English) Zbl 1325.47058

Summary: We investigate the boundedness of weighted composition operator \(uC_{\varphi}\) mapping the Zygmund-type space \(\mathcal Z^{\alpha}\) into the Bloch-type space \(\mathcal B^{\beta}\). Then we give essential norm estimates of such an operator in terms of \(u\) and \(\varphi\).

MSC:

47B33 Linear composition operators
47B38 Linear operators on function spaces (general)
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