## 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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