Results 291 to 300 of about 4,199,505 (352)
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Neural Operator: Learning Maps Between Function Spaces
arXiv.org, 2021The classical development of neural networks has primarily focused on learning mappings between finite dimensional Euclidean spaces or finite sets. We propose a generalization of neural networks to learn operators, termed neural operators, that map ...
Nikola B. Kovachki +6 more
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2023
AbstractWe cover representative results concerning the boundedness, compactness, and spectral properties of composition operators.
Stephan Ramon Garcia +2 more
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AbstractWe cover representative results concerning the boundedness, compactness, and spectral properties of composition operators.
Stephan Ramon Garcia +2 more
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Norm and Essential Norm of a Weighted Composition Operator on the Bloch Space
, 2015Some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space are given in this paper.
Xiaosong Liu, Songxiao Li
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Composition Operators, Convexity of Their Berezin Range and Related Questions
Complex Analysis and Operator Theory, 2023The Berezin range of a bounded operator T acting on a reproducing kernel Hilbert space H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
Athul Augustine, M. Garayev, P. Shankar
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Hyponormal Composition Operators
Bulletin of the London Mathematical Society, 1986Let (X,\(\Sigma\),m) be a complete \(\sigma\)-finite measure space, and let T be a \(\Sigma\)-measurable mapping in X such that \(m\circ T^{-1}\) is absolutely continuous with respect to m. The corresponding weighted composition operator W on \(L^ 2(X,\Sigma,m)\) generated by the weight function \(\phi\) is defined by \(Wf:=\phi f\circ T\).
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Canadian Journal of Mathematics, 1968
The object of this note is to report on some of the properties of a class of operators induced by inner functions. If m is normalized Lebesgue measure on the unit circle X in the complex plane and Cϕ is an inner function (a complex function on X of unit modulus almost everywhere whose Poisson integral is a non-constant holomorphic function in the open ...
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The object of this note is to report on some of the properties of a class of operators induced by inner functions. If m is normalized Lebesgue measure on the unit circle X in the complex plane and Cϕ is an inner function (a complex function on X of unit modulus almost everywhere whose Poisson integral is a non-constant holomorphic function in the open ...
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Compositions of Set Operations
Canadian Journal of Mathematics, 1970The set operations under consideration are Borel operations and Souslin's operation (). With respect to a given family of sets and in a setting free of any topological structure there are defined three Borel families (Definitions 3.1) and the family of Souslin sets (Definition 4.1).
Bressler, D. W., Cayford, A. H.
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Process Fragment Composition Operations
2010 IEEE Asia-Pacific Services Computing Conference, 2010The construction kit principle is a well-known software engineering paradigm to foster reusability. In case the construction kit principle is applied at runtime it is even a way to implement flexibility. In today’s workflow technology the construction kit principle is applied, e.g. in in hierarchical modeling approaches using sub processes.
Eberle H. +4 more
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UNIFORMLY BOUNDED COMPOSITION OPERATORS
Bulletin of the Australian Mathematical Society, 2015We prove that if a uniformly bounded (or equidistantly uniformly bounded) Nemytskij operator maps the space of functions of bounded ${\it\varphi}$-variation with weight function in the sense of Riesz into another space of that type (with the same weight function) and its generator is continuous with respect to the second variable, then this generator ...
Głazowska, Dorota, Matkowski, Janusz
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Commutator of composition operators with adjoints of composition operators
Complex Variables and Elliptic Equations, 2012We characterize the compactness of the linear fractionally induced commutator in terms of the function theoretic properties of ϕ and ψ. We show that in the automorphic case the commutator is compact if and only if ϕ and ψ are simple rotations of the unit disc.
John H. Clifford +2 more
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