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Lipschitz conditions satisfied by Hankel transforms

Published online by Cambridge University Press:  14 November 2011

P. Heywood  and
P. G. Rooney
P. Heywood
Affiliation:
Department of Mathematics and Statistics, University of Edinburgh, Edinburgh EH9 3JZ, Scotland, U.K.
P. G. Rooney
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1A1, Canada
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Abstract

It is shown that Hankel transforms of functions on certain weighted LP spaces satisfy Lipschitz and integral Lipschitz conditions. In particular, Fourier-cosine and Fourier-sine transforms satisfy such Lipschitz conditions on such spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 4 , 1995 , pp. 847 - 858
Copyright
Copyright © Royal Society of Edinburgh 1995

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