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Weighted Inequalities for a Superposition of the Copson Operator and the Hardy Operator
Journal of Fourier Analysis and Applications, 2022 We study a three-weight inequality for the superposition of the Hardy operator and the Copson operator, namely \begin{equation*} \bigg(\int_a^b \bigg(\int_t^b \bigg(\int_a^s f(τ)^p v(τ) \,dτ\bigg)^\frac{q}{p} u(s) \,ds \bigg)^{\frac{r}{q}} w(t) \,dt \bigg)^{\frac{1}{r}} \leq C \int_a^b f(t)\,dt, \end{equation*} in which $(a,b)$ is any nontrivial ...
Amiran Gogatishvili +2 more
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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.
Rzepka Beata, Ścibisz Justyna
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Superposition operator problems of Hölder-Lipschitz spaces
Demonstratio MathematicaLet ff be a function defined on the real line, and Tf{T}_{f} be the corresponding superposition operator which maps hh to Tf(h){T}_{f}\left(h), i.e., Tf(h)=f∘h{T}_{f}\left(h)=f\circ h. In this article, the sufficient and necessary conditions such that Tf{
Niu Yeli, Wang Heping
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Monotonicity properties of the superposition operator and their applications
Journal of Mathematical Analysis and Applications, 2008 Q1
Józef Banas, Kishin Sadarangani
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Integral Superposition-Type Operators on Some Analytic Function Spaces
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
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Collapsing a perfect superposition to a chosen quantum state without measurement. [PDF]
PLoS ONE, 2014 Given a perfect superposition of [Formula: see text] states on a quantum system of [Formula: see text] qubits. We propose a fast quantum algorithm for collapsing the perfect superposition to a chosen quantum state [Formula: see text] without applying any
Ahmed Younes, Mahmoud Abdel-Aty
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Some inequalities and superposition operator in the space of regulated functions
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.
Olszowy Leszek, Zając Tomasz
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Superposition operator on the space of sequences almost converging to zero
Open Mathematics, 2012 Alekhno Egor
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On the Lattice of $ES_I$-closed Classes of Multifunctions on Two-elements Set
Известия Иркутского государственного университета: Серия "Математика", 2021 The paper considers multifunctions on a two-element set with superposition and the equality predicate branching operator. The superposition operator is based on the intersection of sets. The main purpose of the work is to describe all closed classes with
V.I. Panteleyev, E. S. Taglasov
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Transformations of superpositions by means of incoherent operations [PDF]
Scientific Reports, 2020 AbstractIn this paper we study how the coherence of a superposition of pure states is related with the coherence of its components. We consider two pure initial states and two pure final coherent states, such that the former ones cannot be transformed into the latter ones by means of incoherent transformations.
Losada, Marcelo +3 more
openaire +4 more sources