Lipschitz and Fourier type conditions with moduli of continuity in rank \(1\) symmetric spaces

DOI10.1007/S00605-021-01621-WzbMath1496.42004arXiv2109.11210OpenAlexW3202162452MaRDI QIDQ2117280

Arran Fernandez, Joel Esteban Restrepo, Durvudkhan Suragan

Publication date: 21 March 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.11210

zbMATH Keywords

Fourier transformsymmetric spacemoduli of continuitytranslation operatorLipschitz type conditiongeneralised Hölder space

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Differentiable manifolds, foundations (58A05)

Related Items (1)

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity

Cites Work

• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates
• Growth properties of Fourier transforms via moduli of continuity
• Fourier transforms and generalized Lipschitz classes in uniform metric
• Titchmarsh theorems for Fourier transforms of Hölder-Lipschitz functions on compact homogeneous manifolds
• A duality for symmetric spaces with applications to group representations
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