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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 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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Weighted Inequalities for a Superposition of the Copson Operator and the Hardy Operator

Journal of Fourier Analysis and Applications, 2022
Amiran Gogatishvili   +2 more
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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On the superposition operator in the space of functions of bounded variation, revisited

Mathematical and Computer Modelling, 2010
Daria Bugajewska
exaly  

Monotonicity properties of the superposition operator and their applications

Journal of Mathematical Analysis and Applications, 2008
Józef Banaś, Kishin Sadarangani
exaly  

On the superposition operator and integrable solutions of some functional equation

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

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