- Tytuł:
- A Representation Theorem for \(\varphi\)-Bounded Variation of Functions in the Sense of Riesz
- Autorzy:
-
Aziz, Wadie
Leiva, Hugo
Merentes, Nelson
Rzepka, Beata - Powiązania:
- https://bibliotekanauki.pl/articles/746275.pdf
- Data publikacji:
- 2010
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Bounded variation
function of bounded variation in the sense of Riesz
variations spaces
Banach space
algebra space - Opis:
- In this paper we extend the well known Riesz lemma to the class of bounded \(\varphi\)-variation functions in the sense of Riesz defined on a rectangle \(I_a^b\subset \mathbb{R}^2\). This concept was introduced in [2], where the authors proved that the space \(BV_\varphi^R (I_a^b;\mathbb{R}\) of such functions is a Banach Algebra. Moreover, they characterized also the Nemytskii operator acting in this space. Thus our result creates a continuation of the paper [2].
- Źródło:
-
Commentationes Mathematicae; 2010, 50, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł