Abstract

ERLIN CASTILLO, RENÉ; RAFEIRO, HUMBERTO  and  TROUSSELOT, EDUARD. Nemytskii operator on generalized bounded variation space. Integración - UIS [online]. 2014, vol.32, n.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 .

Keywords : Riesz p-variation; (, α)-bounded variation.

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