论文标题
加权迪里奇莱特空间上的hadamard乘数
Hadamard multipliers on weighted Dirichlet spaces
论文作者
论文摘要
两个功率系列的Hadamard乘积是通过将其系数乘以它们的。在本文中，我们表征了那些功率系列，这些功率系列充当了磁盘上的所有加权迪尔奇特空间上的Hadamard乘数，并具有超谐波权重，并且我们获得了对相应的乘数规范的尖锐估计。应用包括在这些空间中对Fejér定理的类似物，以及对扩张的加权迪里奇积分的新估计。
The Hadamard product of two power series is obtained by multiplying them coefficientwise. In this paper we characterize those power series that act as Hadamard multipliers on all weighted Dirichlet spaces on the disk with superharmonic weights, and we obtain sharp estimates on the corresponding multiplier norms. Applications include an analogue of Fejér's theorem in these spaces, and a new estimate for the weighted Dirichlet integrals of dilates.
