Generalized weighted composition operators from minimal Möbius invariant spaces into $n$th weighted ‎spaces

Ebrahimi, Ali; &lrm;Molaei, Daryosh; Nasresfahani, Sepideh; Khalilpour, Kamal

doi:10.22055/jamm.2024.45249.2244

Generalized weighted composition operators from minimal Möbius invariant spaces into $n$th weighted ‎spaces

Document Type : Original Paper

Authors

¹ Department of Mathematics,, Mahabad Branch,, Islamic Azad University,, Mahabad,, Iran

² Department of Mathematics&lrm;, &lrm;Urima Branch&lrm;, &lrm;Islamic Azad University&lrm;, &lrm;Urima&lrm;, &lrm;Iran

³ Department of mathematics, Faculty of mathematics and statistics, university of Isfahan, Isfahan Iran.

10.22055/jamm.2024.45249.2244

Abstract

‎In this paper‎, ‎we first study the boundedness of generalized‎ weighted composition operators from minimal Möbius invariant‎ ‎subspace to the $n$th weighted type space‎. ‎Then‎, ‎we obtain‎ ‎equivalence conditions for its boundedness by using the Bell‎ ‎polynomials‎. ‎We also find some estimates for the essential‎ ‎norm of this operator and use them to present equivalence‎ ‎conditions for the compactness of such an operator‎.

Keywords