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Weighted composition operators from the Besov space into nth weighted type spaces

  • Xiangling Zhu , Ebrahim Abbasi EMAIL logo and Daryoush Molaei
Published/Copyright: August 9, 2022
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Abstract

Let φ be an analytic self-map of the open unit disk 𝔻 in the complex plane ℂ and u be an analytic function on 𝔻. The weighted composition operator is defined on the space H(𝔻) of analytic functions on 𝔻 by

u C φ f = u ( f φ ) , f H ( D ) .

The boundedness and the compactness of weighted composition operators from the Besov space into nth weighted type spaces are given in this work.

  1. ( Communicated by Stanisława Kanas )

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Received: 2021-04-30
Accepted: 2021-08-09
Published Online: 2022-08-09
Published in Print: 2022-08-26

© 2022 Mathematical Institute Slovak Academy of Sciences

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