Gleason's problem in weighted Bergman space on egg domains

Guangbin Ren, Jihuai Shi

In the paper, we discuss on the egg domains: $${\Omega }_a=\left\{\xi =(z,w)\in {\mathbf{C}}^{n+m}:z\in {\mathbf{C}}^n,w\in {\mathbf{C}}^m,|z{|}^2+|w{|}^{2/a}<1\right\},0<a\le 2.$$ We show that Gl…