On the induced connection on sections of Toeplitz operators

Key Points

• An upper bound of the induced connection on Toeplitz operators is established, linking it to other operator functions.
• The main metric shows that the bound is dependent on the properties of relevant Hankel and Toeplitz operators.
• Assessment involves sections of Toeplitz operators in a weighted Hilbert Bergman space on a bounded domain.
• This finding highlights potential applications in the analysis of operator functions in geometry and mathematical physics.