Results 1 to 10 of about 1,266,780 (349)
Some inequalities and superposition operator in the space of regulated functions [PDF]
Advances in Nonlinear Analysis, 2019 Some inequalities connected to measures of noncompactness in the space of regulated function R(J, E) were proved in the paper. The inequalities are analogous of well known estimations for Hausdorff measure and the space of continuous functions.
L. Olszowy, Tomasz Zaja̧c
semanticscholar +3 more sources
Weighted Inequalities for a Superposition of the Copson Operator and the Hardy Operator [PDF]
Journal of Fourier Analysis and Applications, 2021 We study a three-weight inequality for the superposition of the Hardy operator and the Copson operator, namely $$\begin{aligned} \bigg (\int _a^b \bigg (\int _t^b \bigg (\int _a^s f(\tau )^p v(\tau ) \,d\tau \bigg )^\frac{q}{p} u(s) \,ds \bigg )^{\frac{r}
Amiran Gogatishvili +4 more
semanticscholar +7 more sources
Superposition Operator in a Space of Infinitely Differentiable Functions
Zeitschrift für Analysis und ihre Anwendungen, 2008 In this paper we prove a degeneration result for the superposition operator in V(\mathbb{R}^d) , a particular space of infinitely differentiable functions which have all derivatives uniformly bounded by a constant that does not depend on the order of derivation.
Mario Romeo
semanticscholar +5 more sources
Integral Superposition-Type Operators on Some Analytic Function Spaces [PDF]
Journal of Function Spaces, 2021 All entire functions which transform a class of holomorphic Zygmund-type spaces into weighted analytic Bloch space using the so-called n-generalized superposition operator are characterized in this paper.
A. El-Sayed Ahmed, S. Omran
doaj +2 more sources
Toeplitz-Superposition Operators on Analytic Bloch Spaces [PDF]
Journal of Function Spaces, 2021 The important purpose of this current work is to study a new class of operators, the so-called Toeplitz-superposition operators as an expansion of the weighted known composition operators, induced by such continuous entire functions mapping on bounded specific sets.
M. A. Bakhit, A. El-Sayed Ahmed
openaire +3 more sources
Advances in Nonlinear Analysis, 2019 We will consider the so-called superposition operator in the space CC(ℝ+) of real functions defined, continuous on the real half-axis ℝ+ and converging to finite limits at infinity.
B. Rzepka, Justyna Ścibisz
semanticscholar +2 more sources
Quantum conformal symmetries for spacetimes in superposition [PDF]
Quantum, 2022 Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations.
Viktoria Kabel +3 more
semanticscholar +3 more sources
On some properties of the superposition operator on topological manifolds [PDF]
Opuscula Mathematica, 2010 In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established.
Janusz Dronka
doaj +2 more sources
Continuity properties of the superposition operator [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1989 AbstractVarious continuity conditions (in norm, in measure, weakly etc.) for the nonlinear superposition operatorF x(s) =f(s, x(s)) between spaces of measurable functions are established in terms of the generating functionf = f(s, u). In particular, a simple proof is given for the fact that, ifFis continuous in measure, thenfmay be replaced by a ...
J. Appell, P. P. Zabrejko
semanticscholar +2 more sources
Uniform continuity and Brézis–Lieb-type splitting for superposition operators in Sobolev space [PDF]
Advances in Nonlinear Analysis, 2018 Using concentration-compactness arguments, we prove a variant of the Brézis–Lieb-Lemma under weaker assumptions on the nonlinearity than known before.
Ackermann Nils
doaj +2 more sources