A new, unified approach to recent end point estimates for the maximal operator of partial sums of Fourier series is obtained through the use of extrapolation theory. The method involves characterizing certain extrapolation spaces associated with scales of Lorentz-Zygmund spaces. ""1995 Academic Pres
✦ LIBER ✦
On quasi ϕ(L)*-a.e. convergence of Fourier series of functions in Orlicz spaces
✍ Scribed by H. Kita; K. Yoneda
- Publisher
- Akadmiai Kiad
- Year
- 1994
- Tongue
- English
- Weight
- 773 KB
- Volume
- 65
- Category
- Article
- ISSN
- 1588-2632
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## Abstract Let __S__\* (__f__ be the majorant function of the partial sums of the trigonometric Fourier series of __f.__ In this paper we consider the Orlicz space __L__π and give a generalization of Soria's result [S1]. Let π (t) be a concave function with some nice properties and . If there exi
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