Some remarks on the algebra of functions of two variables with bounded total $\Phi$-variation in Schramm sense

Tomás Ereú, Nelson Merentes, and José L. Sánchez. "Some remarks on the algebra of functions of two variables with bounded total $\Phi $-variation in Schramm sense." Commentationes Mathematicae 50.1 (2010): null. <http://eudml.org/doc/292358>.

@article{TomásEreú2010,
abstract = {This paper is devoted to discuss some generalizations of the bounded total $\Phi $-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 $\Phi $-variation in Schramm sense has the structure of a Banach algebra.},
author = {Tomás Ereú, Nelson Merentes, José L. Sánchez},
journal = {Commentationes Mathematicae},
keywords = {Bounded variation in the sense of Wiener; bounded total variation in the sense of Schramm; function of two variable; Banach algebra},
language = {eng},
number = {1},
pages = {null},
title = {Some remarks on the algebra of functions of two variables with bounded total $\Phi $-variation in Schramm sense},
url = {http://eudml.org/doc/292358},
volume = {50},
year = {2010},
}

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
SP - null
AB - This paper is devoted to discuss some generalizations of the bounded total $\Phi $-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 $\Phi $-variation in Schramm sense has the structure of a Banach algebra.
LA - eng
KW - Bounded variation in the sense of Wiener; bounded total variation in the sense of Schramm; function of two variable; Banach algebra
UR - http://eudml.org/doc/292358
ER -