摘要
Let G be a bounded open set on the complex plane, we denote by La2(G) the totality of all analytic functions on G which is square intergrable with respect to Lebesgue measure dA on G. It’s clear that La2(G) is a Hilbert space when endowed with norm ‖f‖=(∫G|f|2dA)1/2. The bounded operator S on La2(G) which is multiplication by z will be callde Bergman operator on G. For Bergman operators we have the following properties ([1], [4]):
