Topological genericity of nowhere differentiable functions in the disc algebra

DOI10.1007/S00013-014-0651-3zbMath1297.26006arXiv1311.0142OpenAlexW2115400122MaRDI QIDQ403041

Alexandros Eskenazis

Publication date: 29 August 2014

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0142

zbMATH Keywords

conjugate seriesgeneric propertynowhere differentiable functionsdisc algebraBaire's theorem

Mathematics Subject Classification ID

Convergence and absolute convergence of Fourier and trigonometric series (42A20) Conjugate functions, conjugate series, singular integrals (42A50) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Algebras of analytic functions of one complex variable (30H50) Function theory on the disc (30J99)

Related Items (4)

Localized versions of function spaces and generic results ⋮ Nowhere Hölderian functions and Pringsheim singular functions in the disc algebra ⋮ Topological genericity of nowhere differentiable functions in the disc and polydisc algebras ⋮ Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces

Cites Work

• Unnamed Item
• Algebras in sets of queer functions
• Baire's category theorem and trigonometric series
• Dense-lineability in spaces of continuous functions
• Universal families and hypercyclic operators
• Sur les fonctions non dérivables
• Lineability and spaceability of sets of functions on $\mathbb {R}$

This page was built for publication: Topological genericity of nowhere differentiable functions in the disc algebra