The Bergman Kernel Function And Bloch Function On A Class Of Egg Domain

In this thesis, we mainly investigate the Bergman kernel function and the Bloch function on a class of egg domain D ,whereIn chapter 1, The Bergman kernel of the class of egg domain D and its Bergmanmetric are first given in the explicit forms, then we discuss the Full Group Aut (D) ofHolomorphic Automorphism of D and a kind of Holomorphic Invariant,finally,weget the Ivariant harmaonic functions under the Full Group Aut (D) of HolomorphicAutomorphism of D.In chapter 2, the sufficient conditions and necessary conditions for the Bloch function on D are obtained. All that extend the previous auther's results.