Results 301 to 310 of about 4,074,119 (344)

Norm and Essential Norm of a Weighted Composition Operator on the Bloch Space

, 2015
Some 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
semanticscholar   +1 more source

Commutator of composition operators with adjoints of composition operators

Complex Variables and Elliptic Equations, 2012
We 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 Clifford, Sivaram K. Narayan, David Levi   +2 more
openaire   +2 more sources

Compositions of Set Operations

Canadian Journal of Mathematics, 1970
The 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).
A. H. Cayford, D. W. Bressler
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Composition Operators

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 ...
openaire   +1 more source

Composition operators on potential spaces [PDF]

Proceedings of the American Mathematical Society, 1992
By a result of B. Dahlberg, the composition operators T H f = H ∘ f {T_H}f = H \circ f need not be bounded on some of the Sobolev spaces (or spaces of Bessel potentials) even for very smooth functions H = H
Michael J. Frazier, David R. Adams
openaire   +2 more sources

Hyponormal Composition Operators

Bulletin of the London Mathematical Society, 1986
Let (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 \(Wf:=\phi f\circ T\).
openaire   +3 more sources

On the composition of cohomological operations

Russian Mathematical Surveys, 1986
Let K(\({\mathbb{Z}},d)\) be the Eilenberg-MacLane space, and the p-localization of the ring \({\mathbb{Z}}\) of integers is denoted by \({\mathbb{Z}}_ p\). The author considers the following problem: if there exists an infinite sequence of \(\Omega\) \({}^{\infty}\)-maps \(f_ i: K({\mathbb{Z}},d_ i)\to K({\mathbb{Z}},d_{i+1})\), \(d_{i+1}>d_ i\), such
openaire   +3 more sources

Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator

Journal of nonlinear science, 2019
Dynamic mode decomposition (DMD) has become synonymous with the Koopman operator, where continuous time dynamics are discretized and examined using Koopman (i.e. composition) operators.
Joel A. Rosenfeld, R. Kamalapurkar, L. Gruss, Taylor T. Johnson   +3 more
semanticscholar   +1 more source

Equivalent composition operators

Integral Equations and Operator Theory, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Operator theory in function spaces

, 1990
Bounded linear operators Interpolation of Banach spaces Integral operators on $L^p$ spaces Bergman spaces Bloch and Besov spaces The Berezin transform Toeplitz operators on the Bergman space Hankel operators on the Bergman space Hardy spaces and BMO ...
Kehe Zhu
semanticscholar   +1 more source