A Note on Maximal Operators Associated with Hankel Multipliers
نویسندگان
چکیده
Let m have compact support in (0,∞). For 1 < p < 2d/(d + 1), we give a necessary and sufficient condition for the Lprad(R )-boundedness of the maximal operator associated with the radial multiplier m(|ξ|). More generally we prove a similar result for maximal operators associated with multipliers of modified Hankel transforms. The result is obtained by modifying the proof of the characterization of Hankel multipliers given by the authors in [2].
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