%0 Journal Article %T Basic Properties of generated algebra by weighted composition operators on different ‎$‎L‎^{p}‎$ of atomic spaces %J Journal of Advanced Mathematical Modeling %I Shahid Chamran University of Ahvaz %Z 2251-8088 %A Alishahi, Aboalghasem %A shamsigamchi, saeedeh %A ebadian, ali %D 2022 %\ 03/21/2022 %V 12 %N 1 %P 34-44 %! Basic Properties of generated algebra by weighted composition operators on different ‎$‎L‎^{p}‎$ of atomic spaces %K weighted composition operator&lrm %K Compactness&lrm %K &lrm %K essential norms %K atomic measure space %R 10.22055/jamm.2022.37301.1927 %X ‎In this paper‎, we continue the study of finite sum of weigted composition operators betweem different ‎‎L‎^{p}‎-spaces. ‎indeed,‎ ‎we first obtain some necessary and sufficient conditions for the compactness of finite sum of weighted composition operators between distinct L^p of atomic measure space ‎. ‎We also estimate the essential norms of these operators‎. %U https://jamm.scu.ac.ir/article_17370_29c65b1233047af5bce45a35b30a571b.pdf