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Asymptotic invertibility of Bergman and Bargmann space Toeplitz operators. (English) Zbl 0816.47023

Summary: We establish a criterion for the asymptotic invertibility of Toeplitz operators with continuous symbols on weighted Bergman spaces of the polydisk and their formal limit, the multidimensional Bargmann space.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
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