Fredholmness of Toeplitz Operators on the Fock Space

摘要

The Fredholm property of Toeplitz operators on the p-Fock spaces F alpha p on Cn is studied. A general Fredholm criterion for arbitrary operators from the Toeplitz algebra Tp, on Fp in terms of the invertibility of limit operators is derived. This paper is based on previous work, which establishes corresponding results on the unit balls Bn (Hagger in Integr Equ Oper Theory 89(4):519-556, 2017).