We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (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.© Instytut Matematyczny PAN, 2009.
Carro, M., Prestini, E. (2009). Convergence a.e. Of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates by. STUDIA MATHEMATICA, 192(2), 173-194 [10.4064/sm192-2-5].
Convergence a.e. Of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates by
PRESTINI, ELENA
2009-01-01
Abstract
We prove some extrapolation results for operators bounded on radial L p functions with p ∈ (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.© Instytut Matematyczny PAN, 2009.File in questo prodotto:
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