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Fourier operators on weighted Hardy spaces

Published online by Cambridge University Press:  24 October 2008

Hans P. Heinig
Hans P. Heinig
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ont. L8S4K1, Canada
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Abstract

In this note we utilize the atomic decomposition of weighted Hardy spaces to prove weighted versions of Hardy's inequality for the Fourier transform with Muckenhoupt weight. The result extends to certain integral operators with homogeneous kernels of degree −1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 1 , January 1987 , pp. 113 - 121
Copyright
Copyright © Cambridge Philosophical Society 1987

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