of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as
Absolute Riesz summability of Fourier series, II
โ Scribed by G.D Dikshit; C.S Rees
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 566 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We adopt here an extended version of the absolute Nevanlinna summability and apply it to study Fourier series of functions of bounded variations. The absolute < < Riesz summability R, n, โฅ , โฅ G 0, which is equivalent to the absolute Cesaro < < summability C, โฅ , is obtainable from the Nevanlinna su
In this paper we intend to prove weak type estimates for maximal functions related to a.e. summability of FOURIER integrals in the spaces Ifp( R N ) where O -= p ~l and N>1. ## Let ( 1 ) &!?(z)=(2n)-" f (1-(& -lyIJ2): $f(y) eiz%zg, &>O , RN be the MARCINKIEWICZ-RIESZ means of order 6zO of the fun