- Tytuł:
- Functions of bounded variations on compact subsets of \(\mathbb{C}\)
- Autorzy:
-
Gimenez, Jose
Merentes, Nelson
Vivas, Miguel - Powiązania:
- https://bibliotekanauki.pl/articles/1912865.pdf
- Data publikacji:
- 2014
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
Functions of bounded variation
variation along a curve
composition operator - Opis:
- In this paper we introduce the concept of bounded variation for functions defined on compact subsets of the complex plane \(\mathbb{C}\), based on the notion of variation along a curve as defined by Ashton and Doust; We describe in detail the space so generated and show that it can be equipped, in a natural way, with the structure of a Banach algebra. We also present a necessary condition for a composition operator \(C_\varphi\) to act between two such spaces.
- Źródło:
-
Commentationes Mathematicae; 2014, 54, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł