Results 251 to 260 of about 5,890,937 (282)

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.
Hyungwoon Koo, Jongho Yang, Maofa Wang
exaly   +3 more sources

Linear Fractional Composition Operators Over the Half-Plane

Integral Equations and Operator Theory, 2018
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Boo Rim Choe, Hyungwoon Koo, Wayne Smith
openaire   +1 more source

Composition of linear canonical Hankel pseudo-differential operators

Asian-European Journal of Mathematics, 2023
In this paper, the study of linear canonical Hankel pseudo-differential operators has been extended to Sobolev-type spaces. Two versions of pseudo-differential operators involving linear canonical Hankel transformation are defined. We have shown that the pseudo-differential operators and composition of pseudo-differential operators are bounded in ...
Ujjawala Singh, Tanuj Kumar
openaire   +1 more source

Complete continuity of linear combinations of composition operators

Archiv der Mathematik, 2010
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Nguyen Quang Dieu, Ohno, Shûichi
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

Regularizability of inverse operators of linear injections and their compositions

Siberian Mathematical Journal, 1988
See the review in Zbl 0658.47004.
Domanskij, E. N., Ostrovskij, M. I.
openaire   +1 more source

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
openaire   +1 more source

Representing Invertible Linear Differential Operators as the Composition of Triangular Ones

Differential Equations, 2021
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openaire   +2 more sources

Joint hyponormality of composition operators with linear fractional symbols

Integral Equations and Operator Theory, 2002
Continuing the work of Cowen and Kriete, the author studies joint hyponormality and joint subnormality of \(n\)-tuples of commuting composition operators with linear fractional symbols, acting on the Hardy space \(H^2\). He presents conditions to ensure that an \(n\)-tuple is jointly subnormal if and only if it is jointly hyponormal.
openaire   +1 more source