Abstract
We give Schwarz lemma at the boundary for holomorphic mappings between $p$-unit ball $B_{p}^{n} \subset \mathbb{C}^{n}$ and $B_{p}^{N} \subset \mathbb{C}^{N}$, where $p \geq 2$. When $p = 2$, this result reduces to that of Liu, Chen and Pan [21] between the Euclidean unit balls, and our method is new. By generalizing pluriharmonic Schwarz lemma of Chen and Gauthier [5] from $p = 2$ to $p \geq 2$, we obtain the boundary Schwarz lemma for pluriharmonic mappings between $p$-unit balls.
Funding Statement
This work was supported by the National Natural Science Foundation of China (Nos. 12071161, 11971165, 11971042) and Fujian Key Laboratory of Financial Information Processing (Putian University) (No. JXC202303).
Acknowledgments
The author would like to express their sincere gratitude to the anonymous referees for carefully reading the paper and many valuable suggestions and comments which lead to the improvement of this paper.
Citation
Jianfei Wang. "Schwarz Lemma at the Boundary for Holomorphic and Pluriharmonic Mappings Between $p$-unit Balls." Taiwanese J. Math. 28 (1) 125 - 138, February, 2024. https://doi.org/10.11650/tjm/230902
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