Friedrich Haslinger
The canonical solution operator to d-bar restricted to
Bergman spaces and spaces of entire functions.
Abstract.
In this paper we obtain a necessary and
sufficient condition
for the canonical solution operator to $\overline \partial $
restricted to radial symmetric Bergman spaces to be a Hilbert-Schmidt operator.
We also discuss compactness of the solution operator in spaces of entire functions
in one variable.
In the sequel we consider several examples and also treat the case
of weighted spaces of entire functions in several variables.
friedrich.haslinger@univie.ac.at
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