Shahid Chamran University of AhvazJournal of Advanced Mathematical Modeling2251-808812120220321Carleson measure and composition operators on
vector valued weighted Besov type spacesCarleson measure and composition operators on
vector valued weighted Besov type spaces1121730510.22055/jamm.2022.38918.1974FASepideNasresfahaniDepartment of Pure Mathematics, Faculty of Mathematics and statistics, University of Isfahan,
Isfahan, IranMostafaHassanlouEngineering Faculty of Khoy, Urmia University of Technology, Urmia, IranEbrahimAbbasiDepartment of Mathematics, Mahabad Branch, Islamic Azad University, Mahabad, IranJournal Article20211021In this paper we investigate composition operator $C_phi$ and also product of composition and differentiation $C_phi D$ and $D C_phi$ on vector valued weighted Besov type space $mathcal{B}^p_v(X)$ and weak vector valued weighted Besov type space $wmathcal{B}^p_v(X)$ for complex Banach space $X$ and $1leq p<2$ and equivalent conditions for boundedness and compactness of these operators on such spaces have been obtained using Carleson measure.In this paper we investigate composition operator $C_phi$ and also product of composition and differentiation $C_phi D$ and $D C_phi$ on vector valued weighted Besov type space $mathcal{B}^p_v(X)$ and weak vector valued weighted Besov type space $wmathcal{B}^p_v(X)$ for complex Banach space $X$ and $1leq p<2$ and equivalent conditions for boundedness and compactness of these operators on such spaces have been obtained using Carleson measure.https://jamm.scu.ac.ir/article_17305_346483762fee4e056c004b2289f9fcde.pdf