Boundary Schwarz inequalities arising from Rogosinski's lemma

DOI10.7153/jca-2018-12-08zbMath1424.30101OpenAlexW2883501497WikidataQ124801173 ScholiaQ124801173MaRDI QIDQ4627859

Peter R. Mercer

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-2018-12-08

zbMATH Keywords

Schwarz lemmaRogosinski lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Function theory on the disc (30J99)

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Cites Work

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• Sharpened versions of the Schwarz lemma
• The Schwarz inequality on the boundary for functions regular in the disk
• The Caratheodory Inequality on the Boundary for Holomorphic Functions in the Unit Disc
• A sharp Schwarz inequality on the boundary
• Boundary Schwarz lemma for holomorphic functions
• CARATHÉODORY'S INEQUALITY ON THE BOUNDARY

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