Geodesic
Maximal Operators of the Fejér means of the two dimensional character system of the p -series field in the Kaczmarz rearrangement
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1 
U. Goginava. Maximal Operators of the Fejér means of the two dimensional character
system of the p -series field in the Kaczmarz rearrangement. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a5/
@article{AMUC_2009_78_1_a5,
     author = {U. Goginava},
     title = {Maximal {Operators} of the {Fej\'er} means of the two dimensional character
system of the p -series field in the {Kaczmarz} rearrangement},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2009},
     volume = {78},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a5/}
}
TY  - JOUR
AU  - U. Goginava
TI  - Maximal Operators of the Fejér means of the two dimensional character
system of the p -series field in the Kaczmarz rearrangement
JO  - Acta mathematica Universitatis Comenianae
PY  - 2009
VL  - 78
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a5/
ID  - AMUC_2009_78_1_a5
ER  - 
%0 Journal Article
%A U. Goginava
%T Maximal Operators of the Fejér means of the two dimensional character
system of the p -series field in the Kaczmarz rearrangement
%J Acta mathematica Universitatis Comenianae
%D 2009
%V 78
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a5/
%F AMUC_2009_78_1_a5

Voir la notice de l'article provenant de la source Comenius University

The main aim of this paper is to prove that the maximal operator σ* of the Fejéer means of the two dimensional character system of the p -series field in the Kaczmarz rearrangement is bounded from the Hardy space H α to the space L α for α > 1/2, provided that the supremum in the maximal operator is taken over a positive cone. We also proved that the maximal operator σ 0 * of Fejér means of the two dimensional character system of the p -series field in the Kaczmarz rearrangement is not bounded from the Hardy space H 1/2 to the space weak- L 1/2 .