Results 221 to 230 of about 12,791 (237)

Linear combination of derivative weighted composition operators

Transactions of Tianjin University, 2012
The relation between composition operators on the Dirichlet spaces in the open unit disk and derivative weighted composition operators on the Bergman spaces in the open unit disk is investigated firstly, and for a combination of several derivative weighted composition operators which acts on classic Bergman space, the lower bound of its essential norm ...
Cezhong Tong, Ligang Geng
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Linear-Fractional Composition Operators in Several Variables

Integral Equations and Operator Theory, 2005
We investigate properties of linear-fractional composition operators Cφ on Hardy and Bergman spaces of the ball in \(\mathbb{C}^N \) that are motivated by a formula for the self-commutator [Cφ* ,Cφ]. In particular, we characterize when certain commutators [Cφ, Cσ] are compact, and give conditions under which \(\left[ {T_{z^\beta } ^* ,C_\varphi ...
Barbara D. MacCluer, Rachel J. Weir
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Linear connection between composition operators on the Hardy space

Journal of Mathematical Analysis and Applications, 2022
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Boo Rim Choe, Koeun Choi, Hyungwoon Koo, Inyoung Park   +3 more
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On the Composition and Decomposition of Positive Linear Operators (V)

Results in Mathematics, 2010
This note discusses the indecomposability and decomposability of certain operators occurring frequently in approximation theory: piecewise linear interpolation and Bernsteintype operators. The second topic includes the central (absolute) moments of the composition of two operators and their asymptotic behavior.
Heiner Gonska, Ioan Raşa
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Linear fractional composition operators on H2

Integral Equations and Operator Theory, 1988
Let \(\phi\) be an analytic function mapping the unit disk D into itself. The composition operator \(C_{\phi}\) on \(H_ 2\) is defined by \(C_{\phi}f=f\circ \phi\). In this paper the author studies such composition operators when \(\phi\) is a linear fractional transformation.
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Compact linear combinations of composition operators induced by linear fractional maps

Mathematische Zeitschrift, 2015
Let \(\Phi:\mathbb B_n\to \mathbb B_m\) be a holomorphic map from the unit ball in \(\mathbb C^n\) into the unit ball of \(\mathbb C^m\). It was shown that the composition operator \(C_\Phi(f)= f\circ \Phi\) is not necessarily bounded on Hardy spaces by \textit{C. C. Cowen} and \textit{B. D.
Choe, Boo Rim, Koo, Hyungwoon, Wang, Maofa, Yang, Jongho   +3 more
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Complete continuity of linear combinations of composition operators

Archiv der Mathematik, 2010
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Nguyen Quang Dieu, Ohno, Shûichi
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Linear Combinations of Composition Operators on the Fock-Sobolev Spaces

Potential Analysis, 2014
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Cho, Hong Rae, Choe, Boo Rim, Koo, Hyungwoon   +2 more
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Complex symmetric composition operators induced by linear fractional maps

Indiana University Mathematics Journal, 2020
Complex symmetry is a property shared by large classes of linear transformations of a Hilbert space. A~weak spectral resolution turns complex symmetry into a desirable property, with implications beyond pure, theoretical curiosity. Composition operators associated to analytic automorphisms of the disk, acting on the Hardy space, are well studied.
Gao, Yong-Xin, Zhou, Ze-Hua
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Compact linear combination of composition operators on Bergman spaces

Journal of Functional Analysis, 2020
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Boo Rim Choe, Hyungwoon Koo, Maofa Wang
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