- Tytuł:
- Uniformly continuous set-valued composition operators in the space of total phi-bidimensional variation in the sense of Riesz
- Autorzy:
-
Aziz, W.
Gimenez, J.
Merentes, N.
Sanchez, J. L. - Powiązania:
- https://bibliotekanauki.pl/articles/255453.pdf
- Data publikacji:
- 2010
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
phi-bidimensional variation
uniformly continuous
Nemytskij operator - Opis:
- In this paper we prove that if a Nemytskij composition operator, generated by a function of three variables in which the third variable is a function one, maps a suitable large subset of the space of functions of bounded total φ-bidimensional variation in the sense of Riesz, into another such space, and is uniformly continuous, then its generator is an affine function in the function variable. This extends some previous results in the one-dimensional setting.
- Źródło:
-
Opuscula Mathematica; 2010, 30, 3; 241-248
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł