Abstract
We compute the Bergman kernel forHp1,p2,p3={(z1,z2,z3):|z1|p1<|z2|p2<|z3|p3<1}, for any positive integers k=p1,p2,p3 using the transformation formula under a proper holomorphic mapping. For example, we compute the explicit forms of the Bergman kernels of Hk,k,1, H1,k,1, Hk,1,1. Using the explicit formulas, we prove that the Bergman kernels have zeros.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have