๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Absolute Riesz summability of Fourier series, II

โœ 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.


๐Ÿ“œ SIMILAR VOLUMES


A Structure Theorem for the Absolute RIE
โœ B. D. Malviya ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 292 KB

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 Nevanlinna Summability and Four
โœ G.D. Dikshit ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 160 KB

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, โฅ , โฅ G 0, which is equivalent to the absolute Cesaro < < summability C, โฅ , is obtainable from the Nevanlinna su

On Marcinkiewicz-Riesz Summability of Fo
โœ P. Oswald ๐Ÿ“‚ Article ๐Ÿ“… 1987 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 614 KB

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