Uniformly bounded superposition operators in the space of second bounded variation functions in the sense of Shiba
Keywords:
Bounded variation, superposition operator, Waterman-ShibaAbstract
In this paper we introduce the notion of “function of second bounded variation” in the sense of Shiba, and we show that if a superposition operator applies the space of all such functions on itself and it is uniformly bounded, then its generating function satisfies a Matkowski condition.
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Copyright (c) 2016 José Giménez, Nelson Merentes, Ebner Pineda, Luz Rodríguez
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