Lipschitz-Hankel spaces and partial Hankel integrals

Abstract

In this paper we prove that the partial Hankel integral s_T(⊘) of ⊘ converges to ⊘, T → ∞, when ⊘ is in a Lipschitz-Hankel space. We also give sufficient conditions on a function ⊘ in order that the Hankel transform h_μ(⊘) of ⊘ is in a L^p -space. ^∗

Keywords:

• Hankel transform
• Bochner-Riesz means,
• L^p -spaces

MSC(1991):

• 46F12

^∗ Partially supported by Consejería de Educación, Gobierno Autónomo de Canarias, Proyecto 967/15-9-95 and by DGICYT Grant PB 94-0591 (Spain).

^∗ Partially supported by Consejería de Educación, Gobierno Autónomo de Canarias, Proyecto 967/15-9-95 and by DGICYT Grant PB 94-0591 (Spain).

Notes

^∗ Partially supported by Consejería de Educación, Gobierno Autónomo de Canarias, Proyecto 967/15-9-95 and by DGICYT Grant PB 94-0591 (Spain).

Additional information

Notes on contributors

J.J. Betancor

L. Rodríguez-Mesa