Hankel operators on generalized Bergman-Hardy spaces

We study Hankel operators on a class of spaces of analytic functions which includes, among many other examples, the Hardy space and the Bergman spaces obn the unit disk as well as the Fock space on . We derive compactness conditions for and describe the essential spectrum of . Moreover we investigate Schatten class Hankel operators. The main objects of study are those Hankel operators which admit a sequence of vector-valued trigonometric polynomials with (Error rendering LaTeX formula) .