Some remarks on the algebra of functions of two variables with bounded total $\Phi $-variation in Schramm sense
Commentationes Mathematicae, Tome 50 (2010) no. 1.

Voir la notice de l'article dans European Digital Mathematics Library

This paper is devoted to discuss some generalizations of the bounded total Φ -variation in the sense of Schramm. This concept was defined by W. Schramm for functions of one real variable. In the paper we generalize the concept in question for the case of functions of of two variables defined on certain rectangle in the plane. The main result obtained in the paper asserts that the set of all functions having bounded total Φ -variation in Schramm sense has the structure of a Banach algebra.
Mots-clés : Bounded variation in the sense of Wiener, bounded total variation in the sense of Schramm, function of two variable, Banach algebra 
@article{COMA_2010__50_1_292358,
     author = {Tom\'as Ere\'u and Nelson Merentes and Jos\'e L. S\'anchez},
     title = {Some remarks on the algebra of functions of two variables with bounded total $\Phi $-variation in {Schramm} sense},
     journal = {Commentationes Mathematicae},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2010},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/COMA_2010__50_1_292358/}
}
TY  - JOUR
AU  - Tomás Ereú
AU  - Nelson Merentes
AU  - José L. Sánchez
TI  - Some remarks on the algebra of functions of two variables with bounded total $\Phi $-variation in Schramm sense
JO  - Commentationes Mathematicae
PY  - 2010
VL  - 50
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/COMA_2010__50_1_292358/
LA  - en
ID  - COMA_2010__50_1_292358
ER  - 
%0 Journal Article
%A Tomás Ereú
%A Nelson Merentes
%A José L. Sánchez
%T Some remarks on the algebra of functions of two variables with bounded total $\Phi $-variation in Schramm sense
%J Commentationes Mathematicae
%D 2010
%V 50
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/COMA_2010__50_1_292358/
%G en
%F COMA_2010__50_1_292358
Tomás Ereú; Nelson Merentes; José L. Sánchez. Some remarks on the algebra of functions of two variables with bounded total $\Phi $-variation in Schramm sense. Commentationes Mathematicae, Tome 50 (2010) no. 1. https://geodesic-test.mathdoc.fr/item/COMA_2010__50_1_292358/