Results 31 to 40 of about 7,013 (297)
Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
Opuscula Mathematica, 2020 Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy ...
Ching-on Lo, Anthony Wai-keung Loh
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Centered weighted composition operators via measure theory [PDF]
Mathematica Bohemica, 2018 We describe the centered weighted composition operators on $L^2(\Sigma)$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert's theorem on centered composition operators.
Mohammad Reza Jabbarzadeh +1 more
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The role of BMOA in the boundedness of weighted composition operators [PDF]
, 2010 Corrigendum to "The role of BMOA in the boundedness of weighted composition operators" [J. Funct. Anal. 258 (11) (2010) 3593–3603] J. Funct. Anal. 259 (2010), no. 10, 2757–2758Boundedness (resp.
Partington, Jonathan R. +1 more
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Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces of Banach lattices [PDF]
Positivity, 2012 We describe the spectrum of weighted $d$-isomorphisms of Banach lattices restricted on closed subspaces that are "rich" enough to preserve some "memory" of the order structure of the original lattice. The examples include (but are not limited to) weighted isometries of Hardy spaces on the polydisk and unit ball in $\mathds{C}^n$.
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Sums of Weighted Differentiation Composition Operators [PDF]
Complex Analysis and Operator Theory, 2019 We solve an interpolation problem in $A^p_α$ involving specifying a set of (possibly not distinct) $n$ points, where the $k^{\textrm{th}}$ derivative at the $k^{\textrm{th}}$ point is up to a constant as large as possible for functions of unit norm. The solution obtained has norm bounded by a constant independent of the points chosen.
Soumyadip Acharyya, Timothy Ferguson
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Differences of weighted composition operators
Collectanea mathematica, 2009 Let \(\mathbb D\) be the open unit disk in the complex plane \(\mathbb C\), \(\varphi:{\mathbb D}\rightarrow {\mathbb D}\), \(\psi:{\mathbb D}\rightarrow {\mathbb C}\) be analytic functions. The weighted composition operator is acting on the functions defined on \(\mathbb D\) by the formula \[ (C_{\varphi,\psi}f)(z)=\psi(z)f(\varphi(z)), \quad z\in ...
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ORDER BOUNDED WEIGHTED COMPOSITION OPERATORS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractLet$\phi $and$\psi $be analytic maps on the open unit disk$D$such that$\phi (D) \subset D$. Such maps induce a weighted composition operator$C_{\phi ,\psi }$acting on weighted Banach spaces of type$H^{\infty }$or on weighted Bergman spaces, respectively. We study when such operators are order bounded.
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SUMS OF WEIGHTED COMPOSITION OPERATORS ON COP [PDF]
Glasgow Mathematical Journal, 2012 AbstractLet COP =0∩H∞, where0is the little Bloch space on the open unit disk, andA() be the disk algebra on. For non-zero functionsu1,u2,. . .,uN∈A() and distinct analytic self-maps ϕ1,ϕ2,. . .,ϕNsatisfying ϕj∈A() and ∥ϕj∥∞=1 for everyj, it is given characterisations of which the sum of weighted composition operators ∑Nj=1ujCϕjmaps COP intoA().
Izuchi, Kei Ji +2 more
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Which Weighted Composition Operators are Complex Symmetric? [PDF]
, 2013 Recent work by several authors has revealed the existence of many unexpected classes of normal weighted composition operators. On the other hand, it is known that every normal operator is a complex symmetric operator.
Christopher Hammond +3 more
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Hermitian Weighted Composition Operators and Bergman Extremal Functions [PDF]
, 2017 Weighted composition operators have been related to products of composition operators and their adjoints and to isometries of Hardy spaces. In this paper, Hermitian weighted composition operators on weighted Hardy spaces of the unit disk are studied.
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