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Pré-Publication, Document De Travail Année : 2019

Nemytskii operators between stepanov almost periodic or almost automorphic function spaces

Résumé

We study the superposition operators (also called Nemytskii operators) between spaces of almost periodic (respectively almost automorphic) functions in the sense of Stepanov. We state new results on the superposition, notably we give a necessary and sufficient condition for that these operators are well-defined and continuous. 2010 Mathematic Subject Classification: Superposition operators, Stepanov almost periodic functions, Stepanov almost automorphic functions, Bochner transform.
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hal-02321036 , version 1 (20-10-2019)

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Philippe Cieutat. Nemytskii operators between stepanov almost periodic or almost automorphic function spaces. 2019. ⟨hal-02321036⟩
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