Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates
María J. Carro ; Elena Prestini
Studia Mathematica, Tome 192 (2009), p. 173-194 / Harvested from The Polish Digital Mathematics Library
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We prove some extrapolation results for operators bounded on radial Lp functions with p ∈ (p₀,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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:285359 
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     title = {Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates},
     journal = {Studia Mathematica},
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     year = {2009},
     pages = {173-194},
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     language = {en},
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María J. Carro; Elena Prestini. Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates. Studia Mathematica, Tome 192 (2009) pp. 173-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-2-5/