Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates
We prove some extrapolation results for operators bounded on radial L p functions with p âˆˆ (po,P1) and deduce some endpoint estimates. We apply our results to prove the almost everywhere convergence of the spherical partial Fourier integrals and to obtain estimates on maximal Bochner-Riesz type operators acting on radial functions in several weighted spaces.Â© Instytut Matematyczny PAN, 2009.