Results 291 to 300 of about 63,505 (342)
Generators of C0-semigroups of weighted composition operators [PDF]
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.
E. Gallardo-Gutiérrez +2 more
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Compact weighted composition operators on spaces of holomorphic functions on Banach spaces
Journal of operator theory, 2023Given an infinite dimensional Banach space X and its open unit ball B, we study when the weighted composition operator Cψ,φ is compact in the space of all bounded analytic functions H∞(B), and when it is bounded, reflexive, Montel and (weakly) compact in
José Bonet +3 more
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Weighted composition operator on quaternionic Fock space
Banach Journal of Mathematical Analysis, 2018This paper is concerned with several important properties of weighted composition operator acting on the quaternionic Fock space F2(H)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
P. Lian, Yu-Xia Liang
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Weighted composition operators on Bergman spaces Aωp$A^p_\omega$
Mathematische Nachrichten, 2022Let ϕ be an analytic self‐map of the open unit disk D$\mathbb {D}$ , and let u be an analytic function on D$\mathbb {D}$ . The weighted composition operator induced by ϕ with weight u is given by (uCϕf)(z)=u(z)f(ϕ(z))$(uC_{\phi }f)(z)=u(z)f(\phi (z ...
H. Arroussi
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Weighted composition operators from the Besov space into nth weighted type spaces
Mathematica Slovaca, 2022Let φ be an analytic self-map of the open unit disk 𝔻 in the complex plane ℂ and u be an analytic function on 𝔻. The weighted composition operator is defined on the space H(𝔻) of analytic functions on 𝔻 by u C φ f = u ⋅ ( f ∘ φ ) , f ∈ H ( D ) . $$u{C_\
Xiangling Zhu, Ebrahim Abbasi, D. Molaei
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Complex Variables and Elliptic Equations, 2021
In this paper, we study weighted composition operators and differences of composition operators.
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In this paper, we study weighted composition operators and differences of composition operators.
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Difference of weighted composition operators
Journal of Functional Analysis, 2020Abstract We obtain complete characterizations in terms of Carleson measures for bounded/compact differences of weighted composition operators acting on the standard weighted Bergman spaces over the unit disk. Unlike the known results, we allow the weight functions to be non-holomorphic and unbounded.
Boo Rim Choe +3 more
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Norm and Essential Norm of a Weighted Composition Operator on the Bloch Space
, 2015Some 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
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Commutators of weighted composition operators
International Journal of Mathematics, 2014In this paper, we prove that if the composition symbols φ and ψ are linear fractional non-automorphisms of 𝔻 such that φ(ζ) and ψ(ζ) belong to ∂𝔻 for some ζ ∈ ∂𝔻 and u, v ∈ H∞ are continuous on ∂𝔻 with u(ζ)v(ζ) ≠ 0, then [Formula: see text] is compact on H2 if and only if ζ is the common boundary fixed point of φ and ψ and one of the following ...
Sungeun Jung, Eungil Ko, Yoenha Kim
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Weighted composition operators on weighted Lorentz spaces
Colloquium Mathematicum, 2012WOS: 000313535600001 The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p, q, wd mu) for 1 < p
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