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A weighted norm inequality for the Hankel transformation
Published online by Cambridge University Press: 14 November 2011
Extract
We give conditions on pairs of non-negative weight functions U and V which are sufficient that for 1<p≤<∞
where Hλ is the Hankel transformation.
The technique of proof is a variant of Muckenhoupt's recent proof for the boundedness of the Fourier transformation between weighted Lp spaces, and we can also use this variant to prove a somewhat different boundedness theorem for the Fourier transformation.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 99 , Issue 1-2 , 1984 , pp. 45 - 50
- Copyright
- Copyright © Royal Society of Edinburgh 1984
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