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The high order Schwarz-Pick lemma on complex Hilbert balls
- Source :
- SCIENCE CHINA Mathematics; 20240101, Issue: Preprints p1-8, 8p
- Publication Year :
- 2024
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 16747283
- Issue :
- Preprints
- Database :
- Supplemental Index
- Journal :
- SCIENCE CHINA Mathematics
- Publication Type :
- Periodical
- Accession number :
- ejs21238265
- Full Text :
- https://doi.org/10.1007/s11425-010-0119-2