论文标题
Grunsky操作员，Grinshpan的猜想和通用Teichmuller空间
Grunsky operator, Grinshpan's conjecture and universal Teichmuller space
论文作者
论文摘要
A. Grinshpan对磁盘中无数函数产生的Grunsky操作员的规范提出了一个深刻的猜想。它从Grunsky系数方面给出了定量答案，在这方面，单价函数决定了其准文献扩展的扩张的结合。我们提供了这种猜想及其各种分析，几何和潜在应用的证明。 另一个结果涉及Grunsky系数的通用Teichmuller空间模型。
A. Grinshpan posed a deep conjecture on the norm of the Grunsky operator generated by univalent functions in the disk. It gives a quantitative answer in terms of the Grunsky coefficients, to which extent a univalent function determines the bound of dilatations of its quasiconformal extensions. We provide the proof of this conjecture and its various analytic, geometric and potential applications. Another result concerns the model of universal Teichmuller space by Grunsky coefficients.
