论文标题
Schur-Nevanlinna参数，Riesz Bases和Compact Hankel Operators在模型空间上
Schur-Nevanlinna parameters, Riesz bases, and compact Hankel operators on the model space
论文作者
论文摘要
我们研究了与相应的Schur-Nevanlinna参数和函数相关的模型空间中复制核的Riesz Bases/Riesz序列。特别是，我们在给定序列$λ$上使用给定的Schur-Nevanlinna参数构建内部函数，以使模型空间中复制内核的相应投影系统已完成/非完整。此外，我们给出了带有符号$θ\ edline b $的汉克尔运营商的紧凑标准，其中$θ$是内在函数，$ b $是一种插值blaschke的产品，并使用此标准来描述riesz bases $ \ natecal k_ {λ，θ} $，$ \ lim_ / c. \至1}θ（λ）= 0 $。
We study Riesz bases/Riesz sequences of reproducing kernels in the model space $K_θ$ in connection with the corresponding Schur--Nevanlinna parameters and functions. In particular, we construct inner functions with given Schur--Nevanlinna parameters at a given sequence $Λ$ such that the corresponding systems of projections of reproducing kernels in the model space are complete/non complete. Furthermore, we give a compactness criterion for Hankel operators with symbol $θ\overline B$, where $θ$ is an inner function and $B$ is an interpolating Blaschke product and use this criterion to describe Riesz bases $\mathcal K_{Λ, θ}$, with $\lim_{λ\in Λ, |λ| \to 1} θ(λ) =0$.
