Wyniki wyszukiwania - Biblioteka Nauki

Nowa wersja platformy, zawierająca wyłącznie zasoby pełnotekstowe, jest już dostępna.
Przejdź na https://bibliotekanauki.pl

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Uniformly continuous composition operators in the space of bounded Φ-variation functions in the Schramm sense

100%

Ereu T. , Merentes N. , Sanchez J. L. , Wróbel M.

Opuscula Mathematica

2012

tom Vol. 32, no. 2

239-247

We prove that any uniformly continuous Nemytskii composition operator in the space of functions of bounded generalized Φ-variation in the Schramm sense is affine. A composition operator is locally defined. We show that every locally defined operator mapping the space of continuous functions of bounded (in the sense of Jordan) variation into the space of continous monotonic functions is constant.

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

100%

Ereu T. , Merentes N. , Sánchez J.-L.

Commentationes Mathematicae

2010

tom Vol. 50, [Z] 1

23-33

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.