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The high order Schwarz-Pick lemma on complex Hilbert balls |
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| Authors: | ShaoYu Dai HuaiHui Chen YiFei Pan |
| Affiliation: | 1. Department of Mathematics, Nanjing Normal University, Nanjing, 210097, China 2. Department of General Study Program, Jinling Institute of Technology, Nanjing, 211169, China 3. School of Mathematics and Informatics, Jiangxi Normal University, Nanchang, 330022, China 4. Department of Mathematical Sciences, Indiana University-Purdue University Fort Wayne, Fort Wayne, IN, 46805-1499, USA |
| Abstract: | In this paper we prove a high order Schwarz-Pick lemma for holomorphic mappings between unit balls in complex Hilbert spaces. In addition, a Schwarz-Pick estimate for high order Fréchet derivatives of a holomorphic function f of a Hilbert ball into the right half-plane is obtained. |
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