Product‎ type operators on vector valued derivative Besov ‎spaces‎

نویسندگان

1 Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran

2 Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran

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

doi
10.22075/ijnaa.2023.29610.4206
چکیده

In this paper,  we characterize the boundedness and compactness of product type operators, including Stevi\'c-Sharma operator $T_{\nu_1,\nu2,\varphi}$,  from weak vector valued derivative Besov space $w\mathcal{E}^p_\beta(X)$ into weak vector-valued Besov space $w\mathcal{B}^p_\beta(X)$. As an application, we obtain the boundedness and compactness characterizations of the weighted composition operator on the weak vector valued derivative  Besov space.