Oscillation of generalized differences of Hölder and Zygmund functions

DOI10.1007/S12220-017-9882-4zbMath1392.26007arXiv1610.08155OpenAlexW2541851253MaRDI QIDQ1651385

Alejandro J. Castro, Artur Nicolau, José González Llorente

Publication date: 12 July 2018

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08155

zbMATH Keywords

oscillationmartingalesCalderón-Zygmund operatorslaw of the iterated logarithmZygmund classLipschitz functionsHölder functionsgeneralized differences

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Martingales and classical analysis (60G46)

Related Items (1)

Oscillation of functions in the Hölder class

Cites Work

• Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions
• Lipschitz spaces, smoothness of functions, and approximation theory
• Boundary values of harmonic Bloch functions in Lipschitz domains: A martingale approach
• Oscillation of Hölder continuous functions
• Radial oscillation of harmonic functions in the Korenblum class
• Classical Fourier Analysis
• Radial behaviour of Bloch Harmonic functions and their area function
• The Law of the Iterated Logarithm for Lacunary Trigonometric Series
• Sur la dérivation k-pseudo-symétrique des fonctions numériques
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