High-order Schwarz-Pick lemma for the Schur class on the polydisc

DOI10.1007/S13226-012-0025-0zbMath1252.32007OpenAlexW2019339733WikidataQ124844388 ScholiaQ124844388MaRDI QIDQ1758655

Yang Liu, Zhi Hua Chen

Publication date: 15 November 2012

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-012-0025-0

zbMATH Keywords

polydiscSchwarz-Pick estimatesbounded homomorphic functions

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Other generalizations of function theory of one complex variable (32A30)

Cites Work

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• Ambarzumyan's theorem with eigenparameter in the boundary conditions
• Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball
• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Remarks on the Bohr phenomenon
• Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of \(\mathbb C^n\)
• Generalized Schwarz-Pick estimates
• Note on Schwarz-Pick estimates for bounded and positive real part analytic functions

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