An improved Schwarz lemma at the boundary

DOI10.1515/math-2018-0096zbMath1417.30016OpenAlexW2898867836WikidataQ125028202 ScholiaQ125028202MaRDI QIDQ1738226

Peter R. Mercer

Publication date: 29 March 2019

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2018-0096

zbMATH Keywords

Schwarz lemmaJulia lemma

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items (18)

Sharpened forms of analytic functions concerned with Hankel determinant ⋮ A novel version of slime mould algorithm for global optimization and real world engineering problems. Enhanced slime mould algorithm ⋮ Estimates for analytic functions connected with Hankel determinant ⋮ Some remarks on the Subordination Principle for analytic functions concerned with Rogosinski's lemma ⋮ Unnamed Item ⋮ Some Results Concerned with Hankel Determinant ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some remarks on rotation theorems for complex polynomials ⋮ Bounds of Hankel determinants for analytic function ⋮ Unnamed Item ⋮ Multipoint Julia theorems

Cites Work

• Unnamed Item
• Unnamed Item
• Boundary Schwarz lemma for holomorphic self-mappings of strongly pseudoconvex domains
• Sharpened versions of the Schwarz lemma
• Some refined Schwarz-Pick lemmas
• The Schwarz inequality on the boundary for functions regular in the disk
• Boundary distortion estimates for holomorphic maps
• The Schwarz lemma at the boundary
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• A sharp Schwarz inequality on the boundary
• On angular derivative

This page was built for publication: An improved Schwarz lemma at the boundary