Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions

DOI10.4171/RMI/806zbMath1298.31002arXiv1202.0147MaRDI QIDQ461290

Artur Nicolau, Juan Jesús Donaire, José González Llorente

Publication date: 10 October 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0147

zbMATH Keywords

Hausdorff dimensionharmonic functionsWeierstrass functionsZygmund class

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Continuity and differentiation questions (26B05) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (2)

Oscillation of generalized differences of Hölder and Zygmund functions ⋮ Central limit theorem for generalized Weierstrass functions

Cites Work

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• The boundary correspondence under quasiconformal mappings
• On the existence of boundary values for harmonic functions in several variables
• Probabilistic Behaviour of Functions in the Zygmund Spaces ∧ ^* and λ ^*

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