* Correspondence: [email protected] Department of Mathematics, Tianjin University, Tianjin, 300072 People’s Republic of China Abstract In this paper, we investigate the compactness of the sum of weighted composition operators on the unit ball algebra, and give the characterization of compact differences of two weighted composition operators on the ball algebra. The connectness of the t...

Let A(D) denote the disk algebra and uCφ be the weighted composition operator on A(D). In this paper, we characterize the compactness of sum of weighted composition operators on A(D). Furthermore, we also find the norm of sum of weighted composition operators on A(D). Mathematics Subject Classification: 47B33

Abstract Let u be an analytic function in the unit disk $\mathbb{D}$ D and φ self-map of . We give characterizations symbols for which multiplication operator $M_{u}$ M u weighted composition $M_{u,\varphi }$ , φ</mml...