Results 261 to 270 of about 8,171 (292)

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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The superposition operator in ideal spaces

1990
In this chapter we are concerned with the basic properties of the superposition operator in so-called ideal spaces which are, roughly speaking, Banach spaces of measurable functions with monotone norm. To formulate our results in a sufficiently general framework, we must introduce a large number of auxiliary notions which will be justified by the ...
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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 ...
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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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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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The Superposition Operator and Strauss Lemma in Logarithmic Besov Spaces

Potential Analysis, 2022
Suqing Wu
exaly  

NONLINEAR SUPERPOSITION OPERATORS

Bulletin of the London Mathematical Society, 1992
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Superposition Operators in Zygmund and BMO Spaces

2003
We characterize the functionsffor which the superposition operatorT f (g):= f ○ g acts in the Holder-Zygmund spaces Bs ∞,∞(ℝn) and in the spacesBMO(ℝn), V MO(ℝn), CMO(ℝn). Further we study the continuity and the differentiability ofT f in those various function spaces.
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Superposition framework v1.0. A time-framed operational account of quantum superposition

Version noteThis report extends the Time Frameworks (TF1.0, TF2.0) with an operational account of quantum superposition. Whereas TF1.0/TF2.0 formalize time as sequences of Planck ticks and calibrate particle-as-clock thinking, the present framework applies that timing logic directly to superposition across platforms.
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On the superposition operator and integrable solutions of some functional equation

Nonlinear Analysis: Theory, Methods & Applications, 1988
Józef Banas
exaly