Published online by Cambridge University Press: 14 November 2011
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.