Results 31 to 40 of about 63,505 (342)

ON THE HYPERBOLIC WEIGHTED COMPOSITION OPERATORS [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this present paper, we investigate the hypercyclicity of a hyperbolic weighted composition operator acting on some Banach spaces of holomorphic functions on the open unit ball in C N.
Gholamreza Moghimi, Bahmann Yousefi
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Weighted Composition Operators from $H^{\infty }$

Journal of Function Spaces, 2022
Let Y I
Jianbing Su, Ziyi Zhang
semanticscholar   +1 more source

Rigidity of weighted composition operators on H^p

Annales Academiae Scientiarum Fennicae Mathematica, 2020
We show that every non-compact weighted composition operator $f \mapsto u\cdot (f\circ )$ acting on a Hardy space $H^p$ for $1 \leq p < \infty$ fixes an isomorphic copy of the sequence space $\ell^p$ and therefore fails to be strictly singular. We also characterize those weighted composition operators on $H^p$ which fix a copy of the Hilbert space $
Pekka J. Nieminen, Santeri Miihkinen, Mikael Lindström   +2 more
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Composition followed by differentiation between weighted Bergman spaces and weighted Banach spaces of holomorphic functions

Acta Universitatis Sapientiae: Mathematica, 2014
Let Φ be an analytic self-map of the open unit disk D in the complex plane. Such a map induces through composition a linear composition operator CΦ : f ↦ f◦Φ.We are interested in the combination of CΦ with the differentiation operator D, that is in the ...
Wolf Elke
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The essential norm of a weighted composition operator on BMOA [PDF]

, 2013
We consider weighted composition operators $${W_{\psi ,\varphi }}:f\mapsto \psi (f\circ \varphi )$$Wψ,φ:f↦ψ(f∘φ) on the space BMOA, which consists of the analytic functions on the unit disc whose boundary values have bounded mean oscillation on the unit ...
Jussi Laitila, M. Lindström
semanticscholar   +1 more source

Weighted composition operator on two-dimensional Lorentz spaces

, 2017
The boundedness, compactness, closed range and invertibility of the weighted composition operator on two-dimensional Lorentz spaces are characterized. Mathematics subject classification (2010): Primary 47B33, 47B38, Secondary 46E30.
R. E. Castillo, H. Chaparro
semanticscholar   +1 more source

Weighted differentiation composition operators on the $Q_K(p,q)$ spaces and‎ their essential ‎norms‎ [PDF]

Journal of Mahani Mathematical Research
In this paper, firstly we obtain characterization for boundedness of the weighted differentiation composition operator  from $Q_K(p,q) $ space into weighted Zygmund space.
Mostafa Hassanlou, Ebrahim Abbasi, Ali Ebrahimi   +2 more
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Weighted Composition Operators from Hardy to Zygmund Type Spaces

Abstract and Applied Analysis, 2013
This paper aims at studying the boundedness and compactness of weighted composition operator between spaces of analytic functions. We characterize boundedness and compactness of the weighted composition operator from the Hardy spaces to the Zygmund ...
Shanli Ye, Zhengyuan Zhuo
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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space

Journal of Function Spaces, 2015
We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative ...
Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou
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On the stability index for weighted composition operators

Journal of Approximation Theory, 2010
AbstractLet ϵ>0. A continuous linear operator T:C(X)⟶C(Y) is said to ϵ-preserve disjointness if ‖(Tf)(Tg)‖∞≤ϵ, whenever f,g∈C(X) satisfy ‖f‖∞=‖g‖∞=1 and fg≡0. In this paper we continue our study of the minimal interval where the possible maximal distance from a norm one operator which ϵ-preserves disjointness to the set of weighted composition maps may
Araujo Gómez, Jesús, Font, Juan J.
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