On Nehari disks and the inner radius
On Nehari disks and the inner radius
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在 Nehari 圆盘和内半径上
DOI：
10.1007/pl00000377
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发表时间：
2001
影响因子：
0.9
通讯作者：
L. M. Wieren
中科院分区：
文献类型：
--
作者：
L. M. Wieren
设D是平面单连通区域，B是单位圆盘. D的内半径定义为$ \sigma（{\rm D}）= {\rm sup}\left\{a：a \geq 0，\Vert{\rm S}_{f}\Vert_{\rm D} \le a\，{\rm implies}\，f\，{\rm is\，univalent\，in\，D} \right\} $。这里Sf是关于D的Schwarzian导数，是关于D的双曲密度，域的值是已知的，包括磁盘，角扇区和正多边形，以及某些类的矩形和等角六边形。除非凸角扇区外，所有上述区域都有一个有趣的共同性质，即其中h保形地映射B到D上。由于这一性质对计算的重要性，我们称D是Nehari圆盘ifholds。本文给出了一个具有凸角的正则区域为Nehari圆盘的充要条件。
Let D be a simply connected plane domain and B the unit disk. The inner radius of D,, is defined by $ \sigma ({\rm D}) = {\rm sup}\left\{a: a \geq 0, \Vert{\rm S}_{f}\Vert_{\rm D} \le a\,{\rm implies}\,f\, {\rm is\,univalent\,in\,D} \right\} $. Here Sfis the Schwarzian derivative off,the hyperbolic density on D and. Domains for which the value ofis known include disks, angular sectors and regular polygons, as well as certain classes of rectangles and equiangular hexagons. All of the mentioned domains except non-convex angular sectors have an interesting property in common, namely that, wherehmaps B conformally onto D. Because of the importance of this property for computing, we say that D is a Nehari disk ifholds.¶This paper is devoted to the problem of characterizing Nehari disks. We give a necessary and sufficient condition for a domain to be a Nehari disk provided it is a regulated domain with convex corners.
克莱因群 II 变形空间的复解析性质
DOI：
--
发表时间：
2014
期刊：
影响因子：
--
作者：
L. Lui;H. Shiga and Z. Sun;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga;H. Shiga
通讯作者：
H. Shiga