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Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces
Open Mathematics, 2012 Matkowski Janusz, Wróbel Małgorzata
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Uniformly continuous set-valued composition operators in the space of total φ-bidimensional variation in the sense of Riesz [PDF]
Opuscula Mathematica, 2010 In this paper we prove that if a Nemytskij composition operator, generated by a function of three variables in which the third variable is a function one, maps a suitable large subset of the space of functions of bounded total \(\varphi\)-bidimensional ...
Wadie Aziz +3 more
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Uniformly bounded Nemytskij operators acting between the Banach spaces of generalized Hölder functions [PDF]
, 2017 We investigate the Nemytskij (composition, superposition) operators acting between Banach spaces of -times differentiable functions defined on the closed intervals of the real line with the -derivatives satisfying a generalized Hölder condition. The main
M. Lupa, Małgorzata Wróbel
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ON NEMYTSKIJ OPERATOR OF SUBSTITUTION IN THE C1 SPACE OF SET-VALUED FUNCTIONS
Demonstratio Mathematica, 2008 We consider the Nemytskij operator, i.e., the operator of substitution, defined by ( Ν φ ) ( χ ) := G (χ, φ(χ)), where G is a given multifunction. It is shown that Ν maps C(7, C), the space of all continuously differentiable functions on the interval I ...
Jakub Jan Ludew
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Schramm spaces and composition operators
Journal of Applied Mathematics and Computational Mechanics, 2023 . We give some properties of Schramm functions; among others, we prove that the family of all continuous piecewise linear functions defined on a real interval I is contained in the space Φ BV ( I ) of functions of bounded variation in the sense of ...
Małgorzata Wróbel
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Operators with memory in Schramm spaces
Journal of Applied Mathematics and Computational Mechanics, 2023 . We show that every operator with memory acting between Banach spaces C Φ BV ( I ) of continuous functions of bounded variation in the sense of Schramm defined on a compact interval I of a real axis, is a Nemytskij composition operator with the ...
Małgorzata Wróbel
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A note on truncations in fractional Sobolev spaces [PDF]
, 2017 We study the Nemytskii operators $u\mapsto |u|$ and $u\mapsto u^{\pm}$ in fractional Sobolev spaces $H^s(\mathbb R^n)$, $s>1$.Comment: 9 ...
Musina, Roberta, Nazarov, Alexander I.
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Quantitative functional calculus in Sobolev spaces [PDF]
, 2003 In the framework of Sobolev (Bessel potential) spaces $H^n(\reali^d, \reali {or} \complessi)$, we consider the nonlinear Nemytskij operator sending a function $x \in \reali^d \mapsto f(x)$ into a composite function $x \in \reali^d \mapsto G(f(x), x ...
Morosi, Carlo, Pizzocchero, Livio
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Sobolev subspaces of nowhere bounded functions [PDF]
, 2016 We prove that in any Sobolev space which is subcritical with respect to the Sobolev Embedding Theorem there exists a closed infinite dimensional linear subspace whose non zero elements are nowhere bounded functions.
Lamberti, PIER DOMENICO +1 more
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The Bi-dimensional space of Korenblum and composition operator
, 2015 In this paper we present the concept of total κ-variation in the sense of Hardy-Vitali-Korenblum for a real function defined in the rectangle Iab⊂R2. We show that the space κBV(Iab, R) of real functions of two variables with finite total κ-variation is a
J. A. Guerrero, N. Merentes, J. Sánchez
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