Hankel operators on generalized Bergman-Hardy spaces
Abstract
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).
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DOI Code:
10.1285/i15900932v17p71
Keywords:
Hankel operators; Toeplitz operators; Bergman-Hardy spaces; Compact operators; Schatten class operators; Fourier series
Classification:
47B35; 47B38; 46E20; 42B05
Full Text: PDF