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

• Autorzy: Tomás Ereú , Nelson Merentes , José L. Sánchez
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Bounded variation in the sense of Wiener; bounded total variation in the sense of Schramm; function of two variable; Banach algebra

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2010
• Tom: 50
• Numer: 1

Daty

wydano

2010

online

2017-12-19

Twórcy

autor

Tomás Ereú

autor

Nelson Merentes

autor

José L. Sánchez

Identyfikatory

DOI

10.14708/cm.v50i1.5297