Revista Integración
ISSN 0120-419X
ERLIN CASTILLO, RENÉ; RAFEIRO, HUMBERTO TROUSSELOT, EDUARD. Nemytskii operator on generalized bounded variation space. []. , 32, 1, pp.71-90. ISSN 0120-419X.
In this paper we show that if the Nemytskii operator maps the (φ, α)-bounded variation space into itself and satisfies some Lipschitz condition, then there are two functions g and h belonging to the (φ, α)-bounded variation space such that .
: Riesz p-variation; (, α)-bounded variation.