Results 31 to 40 of about 3,235,857 (187)
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
doaj +1 more source
Isometric composition operators on weighted Dirichlet space [PDF]
, 2016 summary:We investigate isometric composition operators on the weighted Dirichlet space $\mathcal {D}_\alpha $ with standard weights $(1-|z|^2)^\alpha $, $\alpha >-1$.
Zhou, Ze-Hua, Han, Shi-An
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Centered weighted composition operators via measure theory [PDF]
, 2017 summary:We describe the centered weighted composition operators on $L^2(\Sigma )$ in terms of their defining symbols.
Jafari Bakhshkandi, Mehri +3 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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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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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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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 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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Generators of C0-semigroups of weighted composition operators
Israel Journal of Mathematics, 2022 We prove that in a large class of Banach spaces of analytic functions in the unit disc $\mathbb{D}$ an (unbounded) operator $Af=G\cdot f'+g\cdot f$ with $G,\, g$ analytic in $\mathbb{D}$ generates a $C_0$-semigroup of weighted composition operators if and only if it generates a $C_0$-semigroup.
Gallardo Gutiérrez, Eva Antonia +2 more
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On the dynamics of weighted composition operators
Journal of Mathematical Analysis and ApplicationsWe study the properties of power-boundedness, Li-Yorke chaos, distributional chaos, absolutely Cesàro boundedness and mean Li-Yorke chaos for weighted composition operators on $L^p(μ)$ spaces and on $C_0(Ω)$ spaces. We illustrate the general results by presenting several applications to weighted shifts on the classical sequence spaces $c_0(\mathbb{N})$,
Nilson C. Bernardes +2 more
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