Derivatives at the boundary for analytic Lipschitz functions

DOI10.1070/SM8629zbMath1375.30049arXiv1605.05196OpenAlexW2400764518MaRDI QIDQ2957866

Anthony G. O'Farrell

Publication date: 30 January 2017

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

Full work available at URL: https://arxiv.org/abs/1605.05196

zbMATH Keywords

Hölder continuityanalytic functionsderivation at a boundary point

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Boundary value problems in the complex plane (30E25) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (2)

Bounded Point Derivations on Certain Function Algebras ⋮ Boundary values of holomorphic distributions in negative Lipschitz classes

Cites Work

• Unnamed Item
• Boundary smoothness of analytic functions
• Equiconvergence of derivations
• Annihilators of rational modules
• Boundary smoothness properties of \(\text{Lip }\alpha\) analytic functions
• Analytic Capacity, Holder Conditions, and τ-Spikes
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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