Geodesic
STRONG ESTIMATE FOR SQAURE FUNCTIONS IN HIGHER DIMENSIONS
Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1 
K. EL Berdan. STRONG ESTIMATE FOR SQAURE FUNCTIONS IN HIGHER DIMENSIONS. Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a3/
@article{AMUC_2000_69_1_a3,
     author = {K. EL Berdan},
     title = {STRONG {ESTIMATE} {FOR} {SQAURE} {FUNCTIONS} {IN} {HIGHER} {DIMENSIONS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2000},
     volume = {69},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a3/}
}
TY  - JOUR
AU  - K. EL Berdan
TI  - STRONG ESTIMATE FOR SQAURE FUNCTIONS IN HIGHER DIMENSIONS
JO  - Acta mathematica Universitatis Comenianae
PY  - 2000
VL  - 69
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a3/
ID  - AMUC_2000_69_1_a3
ER  - 
%0 Journal Article
%A K. EL Berdan
%T STRONG ESTIMATE FOR SQAURE FUNCTIONS IN HIGHER DIMENSIONS
%J Acta mathematica Universitatis Comenianae
%D 2000
%V 69
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a3/
%F AMUC_2000_69_1_a3

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

In this paper, we give a generalization to multidimensional case of strong estimate for square functions obtained by Jones Rosenblatt and Ostro-\break vskii Ref. 3. We assume that the averages are taken over squares and the operators are commuting and contraction in $L^2$. For the non-commutative case we need a supplementary condition. Some weak type inequalities are proved.