International Journal of Nonlinear Analysis and Applications

Product‎ type operators on vector valued derivative Besov ‎spaces‎

Document Type : Research Paper

Authors

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

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

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

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 6
June 2024
Pages 19-30
  • Receive Date: 14 January 2023
  • Revise Date: 05 June 2023
  • Accept Date: 15 June 2023