Topological genericity of nowhere differentiable functions in the disc and polydisc algebras

DOI10.1016/j.jmaa.2014.05.062zbMath1310.46027arXiv1311.1176OpenAlexW2964056263MaRDI QIDQ2252081

K. Makridis, Alexandros Eskenazis

Publication date: 16 July 2014

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

Full work available at URL: https://arxiv.org/abs/1311.1176

zbMATH Keywords

Weierstrass functionHölder functiondisc algebrapolydisc algebranowhere differentiable function

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Algebras of holomorphic functions of several complex variables (32A38) Algebras of analytic functions of one complex variable (30H50)

Related Items

Localized versions of function spaces and generic results ⋮ Nowhere Hölderian functions and Pringsheim singular functions in the disc algebra ⋮ Nowhere differentiable functions of analytic type on products of finitely connected planar domains ⋮ Boundary-nonregular functions in the disc algebra and in holomorphic Lipschitz spaces

Cites Work

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• Topological genericity of nowhere differentiable functions in the disc algebra
• Sets of uniqueness for uniform limits of polynomials in several complex variables
• Algebras in sets of queer functions
• Baire's category theorem and trigonometric series
• Linear subsets of nonlinear sets in topological vector spaces
• 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 $\mathbb {R}$

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