论文标题
Toeplitz操作员和Carleson测量由常规重量引起的加权伯格曼空间之间的测量
Toeplitz operators and Carleson measure between weighted Bergman spaces induced by regular weights
论文作者
论文摘要
在本文中，我们对bergman spaces $a_η^p $和$a_η^p $和$ a_或upsilon^q $之间的toeplitz操作员$ \ mathcal {t}_μ^ω$的界限和紧凑性的普遍描述进行了普遍描述。通过使用Khinchin的不平等和Kahane的不平等，我们将获得了Carleson量度的新特征，该措施是由常规重量引起的伯格曼空间。
In this paper, we give a universal description of the boundedness and compactness of Toeplitz operator $\mathcal{T}_μ^ω$ between Bergman spaces $A_η^p$ and $A_\upsilon^q$ when $μ$ is a positive Borel measure, $1<p,q<\infty$ and $ω,η,\upsilon$ are regular weights. By using Khinchin's inequality and Kahane's inequality, we get a new characterization of the Carleson measure for Bergman spaces induced by regular weights.
