- Tytuł:
- Uniformly continuous composition operators in the space of functions of two variables of bounded \(\varphi\)-variation in the sense of Wiener
- Autorzy:
-
Guerrero, J. A.
Matkowski, J.
Merentes, N. - Powiązania:
- https://bibliotekanauki.pl/articles/745206.pdf
- Data publikacji:
- 2010
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
\(\vaprhi\)-variation in the Wiener sense
composition operator
uniformly continuous operator
left-left regularization
Jensen equation - Opis:
- Assume that the generator of a Nemytskii composition operator is a function of three variables: the first two real and third in a closed convex subset of a normed space, with values in a real Banach space. We prove that if this operator maps a certain subset of the Banach space of functions of two real variables of bounded Wiener \(\varphi\)-variation into another Banach space of a similar type, and is uniformly continuous, then the one-sided regularizations of the generator are affine in the third variable.
- Źródło:
-
Commentationes Mathematicae; 2010, 50, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł