论文标题
伯格曼空间上的乘法操作员通过正确的全态图
Multiplication operator on the Bergman space by a proper holomorphic map
论文作者
论文摘要
假设$ f：=（f_1，\ ldots，f_d）：ω_1\toΩ_2$是$ \ mathbb c^d的两个有界域之间的适当的全态图。在本文中，我们在本文中，我们找到了一个非客气的最小值减少关节的乘以乘以乘以乘以（tuple）$ ______________（ld），伯格曼空间上的m_ {f_d}）$ a^2（ω_2）。$
Suppose that $f := (f_1,\ldots,f_d):Ω_1\toΩ_2$ is a proper holomorphic map between two bounded domains in $\mathbb C^d.$ In this paper, we find a non-trivial minimal joint reducing subspace for the multiplication operator (tuple) $M_f=(M_{f_1},\ldots, M_{f_d})$ on the Bergman space $\mathbb A^2(Ω_1)$, say $\mathcal M.$ We further show that the restriction of $(M_{f_1},\ldots,M_{f_d})$ to $\mathcal M$ is unitarily equivalent to Bergman operator on $\mathbb A^2(Ω_2).$
