Resumen de Generalized Cesàro operators in weighted Banach spaces of analytic functions with sup-norms

Angela Ama Albanese, José Antonio Bonet Solves , Werner J. Ricker

• An investigation is made of the generalized Cesàro operators C_t, for t\in [0,1], when they act on the space H({{\mathbb {D}}}) of holomorphic functions on the open unit disc {{\mathbb {D}}}, on the Banach space H^\infty of bounded analytic functions and on the weighted Banach spaces H_v^\infty and H_v^0 with their sup-norms. Of particular interest are the continuity, compactness, spectrum and point spectrum of C_t as well as their linear dynamics and mean ergodicity.