Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-12-01T00:08:14.319Z Has data issue: false hasContentIssue false
  • English
  • Français

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; [email protected]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)