论文标题
$ s^2（\ Mathbb d）$上的乘法运算符
Multiplication operators on $S^2(\mathbb D)$
论文作者
论文摘要
在本文中，我们在$ s^2 $上研究了乘法运算符，这是开放单元磁盘$ \ Mathbb d $的分析功能的空间，其第一个衍生物在$ h^2 $中。具体而言，我们表征有限的和紧凑的乘法运算符，对操作员规范建立估计值，并确定频谱。最后，我们证明，等距乘法运算符恰恰是由模量ON的恒定函数引起的。
In this paper, we study the multiplication operators on $S^2$, the space of analytic functions on the open unit disk $\mathbb D$ whose first derivative is in $H^2$. Specifically, we characterize the bounded and the compact multiplication operators, establish estimates on the operator norm, and determine the spectrum. Finally, we prove that the isometric multiplication operators are precisely those induced by a constant function of modulus one.
