Approximation in the Zygmund class

DOI10.1112/jlms.12267zbMath1442.42008arXiv1809.11126OpenAlexW2966136188MaRDI QIDQ5108148

Odí Soler i. Gibert, Artur Nicolau

Publication date: 29 April 2020

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.11126

zbMATH Keywords

Zygmund measuresZygmund seminorm

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by other special function classes (41A30)

Related Items (3)

Convergence of linear combinations of iterates of an inner function ⋮ Approximation in the Zygmund and Hölder classes on ⋮ Closure in the logarithmic Bloch norm of Dirichlet type spaces

Cites Work

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• BMO from dyadic BMO
• Probabilistic behavior of harmonic functions
• Analytic functions of bounded mean oscillation and the Bloch space
• BMO is the intersection of two translates of dyadic BMO
• Divided differences, square functions, and a law of the iterated logarithm
• A note on dyadic coverings and nondoubling Calderón-Zygmund theory
• Closure of Hardy spaces in the Bloch space
• Three notes on perfect linear sets
• Smooth functions
• The closure of the Hardy space in the Bloch norm
• Inner Functions, Bloch Spaces and Symmetric Measures
• Probabilistic Behaviour of Functions in the Zygmund Spaces ∧ ^* and λ ^*
• Differentiability of functions in the Zygmund class
• The distance in BMO to \(L^\infty\)
• Symmetric and Zygmund measures in several variables.

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