Ahlfors LemmaOne of the most influential versions of the classical Schwarz–Pick Lemma is probably that of Ahlfors. Pulling back a conformal semimetric on a Riemann surface under any holomorphic map from the open unit disk equipped with a Poincaré metric, the curvature of which is assumed to ...
在下面他又引用了一下Lemma 3,整个阅读的过程就是要到处翻、到处对比,虽然没什么难的,但是特别累。 对比一下Stein对Taylor级数的证明(刚才Alhfors证明的是有限展开式,两者稍有不同): 直接利用几何级数,我接受起来比较轻松。 再来看一个例子 Alhfors用短短一张纸介绍了:Morera‘s Thm,Liouville’s Thm以及代...
The first lemma corresponds to [31, Proposition 4.1].Lemma 5.3For any real-valued bounded function , there are and such that if satisfies , then .ProofFor any , we set where u and v are real-valued. Fixing for , we consider (15) ...
We prove that an Ahlfors-regular set (with dimension one) $E \subset \Bbb R^{n}$ which verifies a $\beta_{q}$-version of P. W. Jones' geometric lemma is included in an Ahlfors-regular curve $\Gamma$.This theorem is due to G. David and S. Semmes, we give a more direct proof...
1 Lemma 的变换形式,比如 s 代表 apples 是其 lemma 的复数形式这个是根据 BNC 语料库和 NodeBox / WordNet 的语言处理工具生成的,有了这个 Exchange ,你的 App 能为用户提供更多信息。编程接口代码stardict.py 用于操作该数据(兼容 Python 2/3),同时实现三个类:类...
Kraus, D., Roth, O., Ruscheweyh, S.: A boundary version of Ahlfors’ lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps. J. Anal. Math. 101 , 219–256 (2007) MATH MathSciNet
TY - JOURAU - Chun-li, ShenTI - A generalization of the Schwarz-Ahlfors lemma fo the theory of harmonic maps.JO - Journal f眉r die reine und angewandte MathematikPY - 1984VL - 348SP - 23EP - 33LA - engKW - generalized dilatation; Ricci tensor; sectional curvature; bounded ...
Ruscheweyh, A boundary version of Ahlfors Lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps, J. Anal. Math. 101 (2007), 219-256.D. Kraus, O. Roth and S. Ruscheweyh, A boundary version of Ahlfors' lemma, locally complete conformal ...
The following sections are included:Generalized Schwarz's Lemma by AhlforsApplication to Kobayashi Hyperbolicity Generalized Schwarz's Lemma by Ahlfors Application to Kobayashi HyperbolicitySchwarz's Lemma From A Differential Geometric Viewpointdoi:10.1142/9789814324793_0003Kang-Tae Kim...