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Toeplitz and Hankel Operators on Bergman Spaces

Toeplitz and Hankel Operators on Bergman Spaces

In this paper we consider Toeplitz and Hankel operators on the Bergman spaces of the unit ball and the polydisk in ${\mathbb {C}^n}$ whose symbols are bounded measurable functions. We give necessary and sufficient conditions on the symbols for these operators to be compact. We study the Fredholm theory of …