Almost everywhere convergence of the spherical partial Fourier integrals for radial functions

We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 44B20, 42EB10. Key words and phrases. Fourier integrals, extrapolation theory, almost everyw...

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Bibliographic Details
Published inBanach journal of mathematical analysis Vol. 4; no. 1; pp. 92 - 99
Main Author Carro, Maria J.
Format Journal Article
LanguageEnglish
Published Durham Springer 2010
Nature Publishing Group
Subjects
Convergence
Convergence (Mathematics)
Fourier analysis
Functional equations
Functions
Integrals
Mathematical analysis
Spain
Online AccessGet full text
ISSN1735-8787
2662-2033
1735-8787
DOI10.15352/bjma/1272374673

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Summary:We study new conditions on a radial function f in order to have the almost everywhere convergence of the spherical partial Fourier integrals. 2000 Mathematics Subject Classification. Primary 26D10; Secondary 44B20, 42EB10. Key words and phrases. Fourier integrals, extrapolation theory, almost everywhere convergence, radial functions, Muckenhoupt weights.
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ISSN:1735-8787
2662-2033
1735-8787
DOI:10.15352/bjma/1272374673