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Fourier operators on weighted Hardy spaces
Published online by Cambridge University Press: 24 October 2008
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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