Essential norms of weighted composition operators between Zygmund-type spaces and Bloch-type spaces

Authors: AMIR HOSSEIN SANATPOUR, MOSTAFA HASSANLOU

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

Keywords: Zygmund-type space, Bloch-type space, weighted composition operator, essential norm

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