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On Nemytskii operator for set-valued functions

Publicationes Mathematicae Debrecen, 1999
The author presents generalizations (in some sense) of her previous results that appeared in [Publ. Math. 54, No. 1-2, 33-37 (1999; Zbl 0921.47056)]. In fact, here she treats the problem of characterizing those vector-valued, or set-valued functions that generate such a Nemytskij operator which maps a \(\text{lip}^2\) space (space of functions with ...
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Uniformly bounded Nemytskij operators generated by set-valued functions between generalized Hölder function spaces

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2011
Janusz Matkowski, Małgorzata Wróbel
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Local operators and a characterization of the Volterra operator

Annals of Functional Analysis, 2010
Janusz Matkowski
exaly  

The Nemitskij operator on Lipk-type and BVk-type spaces

Demonstratio Mathematica, 2013
N Merentes, JOSÉ Giménez
exaly  

Operator equations and duality mappings in Sobolev spaces with variable exponents

Chinese Annals of Mathematics Series B, 2013
Pavel Matei, Philippe G Ciarlet
exaly  

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