B_(n)×U^(m)的全纯自同构群

Holomorphic Automorphism Group of B_(n)×U^(m)

给出域B_(n)×U^(m)上的全纯自同构群,并且给出它的Bergman核函数以及自同构的Jacobian行列式,B_(n)和U^(m)分别为复空间中的n维单位球和m维单位多圆柱.

Let B_(n)and U^(m)be n-dimensional unit balls and m-dimensional unit polydisc in complex space respectively.In this paper,holomorphic automorphism groups over a field B_(n)×U^(m)are investigated,and the Bergman kernel function and Jacobian determinant of the automorphism of B_(n)×U^(m)are given.