Abstract. The generalized Cesáro operator $T_g$ with analytic symbol $g: D \to \mathbb{C}$ acts on analytic functions by the formula $$T_gf(z) = \int_0^z f(w)g'(w)\,dw.$$ The problem of when $T_g$ acts boundedly or compactly on various Banach spaces of analytic functions, and the problem of descrption of its spectrum on these spaces, has been investigated by several authors. We will talk about $T_g$ acting on the so-called growth spaces $A^{-\alpha}$.
Integration operators on growth spaces
25.04.2017 11:30 - 13:00
Location:
Seminar room 8, 2nd floor, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria