- Tytuł:
- Some remarks on the algebra of functions of two variables with bounded total \(\Phi\)-variation in Schramm sense
- Autorzy:
-
Ereú, Tomás
Merentes, Nelson
Sánchez, José L. - Powiązania:
- https://bibliotekanauki.pl/articles/745214.pdf
- Data publikacji:
- 2010
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Bounded variation in the sense of Wiener
bounded total variation in the sense of Schramm
function of two variable
Banach algebra - Opis:
- 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.
- Źródło:
-
Commentationes Mathematicae; 2010, 50, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł