On the induced connection on sections of Toeplitz operators

Abstract

The purpose of the present article is to show that an upper bound of the induced connection on sections of Toeplitz operators is bounded by a function of the Hankel and of the Toeplitz operators on a weighted Hilbert Bergman space on a bounded domain of a complete Kähler manifold.

Keywords

• bundle of bergman space
• chern connection
• hankel and toeplitz operators
• kähler manifold