Norm convergence of Fejér means of two-dimensional Walsh-Fourier series
Banach Center Publications (2011)
- Volume: 95, Issue: 1, page 317-324
- ISSN: 0137-6934
Access Full Article
top
Abstract
topHow to cite
topUshangi Goginava. "Norm convergence of Fejér means of two-dimensional Walsh-Fourier series." Banach Center Publications 95.1 (2011): 317-324. <http://eudml.org/doc/281776>.
@article{UshangiGoginava2011,
abstract = {The main aim of this paper is to prove that there exists a martingale $f ∈ H_\{1/2\}$ such that the Fejér means of the two-dimensional Walsh-Fourier series of f is not uniformly bounded in the space weak-$L_\{1/2\}$.},
author = {Ushangi Goginava},
journal = {Banach Center Publications},
keywords = {Walsh-Fourier series; Hardy spaces; maximal operator; martingales; Fejér means.},
language = {eng},
number = {1},
pages = {317-324},
title = {Norm convergence of Fejér means of two-dimensional Walsh-Fourier series},
url = {http://eudml.org/doc/281776},
volume = {95},
year = {2011},
}
TY - JOUR
AU - Ushangi Goginava
TI - Norm convergence of Fejér means of two-dimensional Walsh-Fourier series
JO - Banach Center Publications
PY - 2011
VL - 95
IS - 1
SP - 317
EP - 324
AB - The main aim of this paper is to prove that there exists a martingale $f ∈ H_{1/2}$ such that the Fejér means of the two-dimensional Walsh-Fourier series of f is not uniformly bounded in the space weak-$L_{1/2}$.
LA - eng
KW - Walsh-Fourier series; Hardy spaces; maximal operator; martingales; Fejér means.
UR - http://eudml.org/doc/281776
ER -
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.