# 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

top## How 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 ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.