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

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Springer Wien

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info:eu-repo/semantics/openAccess

Abstract

Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an L-2 function, in the setting of Riemannian symmetric spaces of rank 1 whose growth depends on a kth-order modulus of continuity.

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Generalised Holder space, Lipschitz type condition, Fourier transform, Moduli of continuity, Translation operator, Symmetric space

Journal or Series

Monatshefte Fur Mathematik

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Volume

197

Issue

2

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