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Factorization dynamics between quantum Fisher information and quantum coherence. [PDF]
Sci AdvZhao X, Yu X, Li L, Zhou W, Zhang C.
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Superposition Operators on Bloch-Type Spaces
Computational Methods and Function Theory, 2007The article deals with the superposition operator \(S_\varphi(f)(z) = \varphi(f(z))\) between the Bloch-type spaces \({\mathcal B}^\alpha\), \(0 < \alpha < \infty\), of all analytic functions \(f(z)\) on the unit disk satisfying \[ \| f\| _{{\mathcal B}^\alpha} = | f(0)| + \sup_{| z| < 1}(1 - | z| ^2)^\alpha \, | f'(z)| < \infty \] (\({\mathcal B ...
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Modular metric spaces, II: Application to superposition operators
Nonlinear Analysis: Theory, Methods & Applications, 2010The author presents an exhausting description of Lipschitz continuous and some other classes of nonlinear superposition operators acting in modular metric spaces of functions of a real variable of finite generalized variation in the sense of \textit{M. Schramm} [Trans. Am. Math. Soc.
Vyacheslav V Chistyakov
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Operator superpositions in the spaces ?p
Siberian Mathematical Journal, 1987The superposition operator \(Fx(s)=f(s,x(s))\) is the most important operator in nonlinear analysis. There is a vast literature on the theory and applications of this operator in various function spaces; the first systematic study in the Lebesgue function spaces \(L_ p\), for instance, is contained in the book of \textit{M. A.
Dedagich, F., Zabrejko, P. P.
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Superposition operators between normal weight bloch spaces
Monatshefte für Mathematik, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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HOLOMORPHIC SUPERPOSITION OPERATORS BETWEEN BANACH FUNCTION SPACES
Journal of the Australian Mathematical Society, 2013AbstractWe prove that for a large class of Banach function spaces continuity and holomorphy of superposition operators are equivalent and that bounded superposition operators are continuous. We also use techniques from infinite dimensional holomorphy to establish the boundedness of certain superposition operators.
Boyd, Christopher, Rueda, Pilar
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Nonlinear Superposition Operators
1990This book is a self-contained account of knowledge of the theory of nonlinear superposition operators: a generalization of the notion of functions. The theory developed here is applicable to operators in a wide variety of function spaces, and it is here that the modern theory diverges from classical nonlinear analysis.
Jürgen Appell, Petr P. Zabrejko
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Superposition of Substitution Operators
1967The present section forms a bridge leading to the second part of our material — integral operators. There is no implication that integral operators in general (or even Integral operators of any particular type) have to be introduced as superposition of substitution operators.
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Superposition operators, -universal functions, and the hyperbolic composition operator
Acta Mathematica Hungarica, 2012We give a description of those functions f in the unit ball Open image in new window of H∞ on the disk \(\mathbb{D}\) whose orbit {f∘ϕn: n∈ℕ} is locally uniformly dense in Open image in new window for some sequence (ϕn) of selfmaps of \(\mathbb{D}\). An interpretation of this result in terms of the superposition (or substitution) operator on the space ...
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Superposition operators between logarithmic Bloch spaces
Rendiconti del Circolo Matematico di Palermo Series 2, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malavé-Malavé, Renny J. +1 more
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