Inverse function theorem on the class of holomorphic self-maps of a disc with two fixed points

DOI10.1070/RM10042zbMath1492.30025OpenAlexW4214884620WikidataQ113854105 ScholiaQ113854105MaRDI QIDQ5074414

O. S. Kudryavtseva, Alexei P. Solodov

Publication date: 9 May 2022

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm10042

zbMATH Keywords

Bloch radiusholomorphic self-maps of the disk

Mathematics Subject Classification ID

Extremal problems for conformal and quasiconformal mappings, other methods (30C75) General theory of univalent and multivalent functions of one complex variable (30C55) Covering theorems in conformal mapping theory (30C25)

Related Items (1)

Estimate of the second coefficient of holomorphic mappings of a disk into itself with two fixed points

Cites Work

• Angular derivatives for holomorphic self-maps of the disk
• Strengthening of Landau's theorem for holomorphic self-mappings of a disk with fixed points
• On Bloch's constant
• On Bloch's Constant
• Semigroups of analytic functions in analysis and applications
• Two-sided estimates for domains of univalence for classes of holomorphic self-maps of a disc with two fixed points
• Holomorphic mappings of the unit disc into itself with two fixed points
• An Extension of Schwarz's Lemma
• The exact domain of univalence on the class of holomorphic maps of a disc into itself with an interior and a boundary fixed points

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