On the Nemytskii Operator in the Space of Functions of Bounded (p, 2, α)-Variation with Respect to the Weight Function

In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α) into the space of functions of bounded (q,2,α)-va...

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Autor principal:	Aziz Wadie
Formato:	Artigo
Idioma:	Inglês
Publicado em:	De Gruyter 2014-12-01
coleção:	Demonstratio Mathematica
Assuntos:	and phrases variation in the sense of De la Vallée Poussin variation in the sense of Riesz -convex functions weight function composition operator Jensen equation
Acesso em linha:	http://www.degruyter.com/view/j/dema.2014.47.issue-4/dema-2014-0074/dema-2014-0074.xml?format=INT
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