Results 241 to 250 of about 124,365 (283)

HOLOMORPHIC SUPERPOSITION OPERATORS BETWEEN BANACH FUNCTION SPACES

Journal of the Australian Mathematical Society, 2013
AbstractWe 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

1990
This 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 Operators on Bloch-Type Spaces

Computational Methods and Function Theory, 2007
The 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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Superposition of Substitution Operators

1967
The 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, 2012
We 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, 2018
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Malavé-Malavé, Renny J., Ramos-Fernández, Julio C.   +1 more
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The superposition operator in Orlicz spaces

1990
Whenever one has to deal with problems involving rapidly increasing nonlinearities (e.g. of exponential type), Orlicz spaces are more appropriate than Lebesgue spaces. Since Orlicz spaces are ideal spaces, many statements of this section are just reformulations of the general results of Chapter 2, and therefore are cited mostly without proofs. However,
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Modular metric spaces, II: Application to superposition operators

Nonlinear Analysis: Theory, Methods & Applications, 2010
The 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.
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Precomplete Classes of Automata with the Superposition Operation

Moscow University Mathematics Bulletin, 2018
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Regularizability of superposition of inverse linear operators

Journal of Soviet Mathematics, 1992
Let \(L_ 0(X,Y)\) be the linear continuous injective operators; \(X,Y\) are Banach spaces. If \(X\) is separable and \(A\in L_ 0(X,Y)\), then the regularizability of \(A^{-1}\) is equivalent to the subspace \(A^*Y^*\subset X^*\) being norming. This article investigates the problem of determining the triples \((X,Y,Z)\) of infinite-dimensional separable
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