Spectra of Generalized Cesàro Operators Acting on Growth Spaces
We study the spectrum of generalized Cesàro operators Tg acting on the class of growth spaces A- α. We show how the problem of determining the spectrum is related to boundedness of standard weighted Bergman projections on weighted L∞-spaces. Using this relation we establish some general spectral properties of these operators, and explicitly compute the spectrum for a large class of symbols g.