Inequalities for angular derivatives and boundary interpolation

DOI10.1007/s13324-012-0050-5zbMath1293.30094OpenAlexW2088720077MaRDI QIDQ1941778

Mark Elin, Vladimir Bolotnikov, David M. Shoikhet

Publication date: 21 March 2013

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-012-0050-5

zbMATH Keywords

boundary interpolationSchur functionangular derivatives

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Function theory on the disc (30J99)

Related Items (14)

Bounded holomorphic functions covering no concentric circles ⋮ Rigidity and parametric embedding of semi-complete vector fields on the unit disk ⋮ Angular derivatives for holomorphic self-maps of the disk ⋮ Estimate of the second coefficient of holomorphic mappings of a disk into itself with two fixed points ⋮ Infinitesimal generators of semigroups with prescribed boundary fixed points ⋮ Value regions of univalent self-maps with two boundary fixed points ⋮ Boundary Interpolation by Finite Blaschke Products ⋮ Angular and unrestricted limits of one-parameter semigroups in the unit disk ⋮ A Burns–Krantz-type Theorem for Pseudo-contractive Mappings ⋮ Schwarz lemma involving the boundary fixed point ⋮ Boundary distortion estimates for holomorphic maps ⋮ Производная Шварца и покрытие дуг пучка окружностей голоморфными функциями ⋮ Pseudo-contractions, rigidity, fixed points and related questions ⋮ The Schwarz Lemma: Rigidity and Dynamics

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