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POINTWISE CONVERGENCE OF FOURIER SERIES

Published online by Cambridge University Press:  06 March 2002

J. ARIAS-DE-REYNA
J. ARIAS-DE-REYNA
Affiliation:
Facultad de Matemáticas, Universidad de Sevilla, PO Box 1160, 41080 Sevilla, Spain; arias@us.es
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Abstract

The problem of studying the largest rearrangement invariant space of functions with almost everywhere convergent Fourier series is considered. A quasi-Banach space QA of functions is defined with almost everywhere convergent Fourier series that strictly contains Antonov and Soria's spaces ([Lscr ] log [Lscr ] log log log [Lscr ] and B*ϕ1([ ])).

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 65 , Issue 1 , February 2002 , pp. 139 - 153
Copyright
2002 London Mathematical Society

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