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Zbl 1200.26022
Carro, M.J.
Almost everywhere convergence of the spherical partial Fourier integrals for radial functions. (English)
[J] Banach J. Math. Anal. 4, No. 1, 92-99, electronic only (2010). ISSN 1735-8787/e

Some new conditions on a radial function $f$ in order to have the almost everywhere convergence of the spherical partial Fourier integrals are studied. Some consequences of the results obtained are highlighted, discussed and compared to some known results in the literature.
[James Adedayo Oguntuase (Abeokuta)]

MSC 2000:: *26D10 Inequalities involving derivatives, diff. and integral operators
44A20 Integral transforms of special functions
42B10 Fourier type transforms, several variables

Keywords: Fourier integrals; extrapolation theory; almost everywhere convergence; radial functions; Muckenhoupt weights

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