Weighted Composition Operators from Hardy to Zygmund Type Spaces
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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Weighted differentiation composition operators on the $Q_K(p,q)$ spaces and their essential norms [PDF]
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 +2 more
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Product of Composition and Multiplication Operator [PDF]
Operators are nothing but the mapping from a topological space to a topological space. When it satisfies the criterion for the linearity, it becomes linear.
Gardia, Sharata Charan
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Weighted composition operator on two-dimensional Lorentz spaces
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
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The essential norm of a weighted composition operator on BMOA [PDF]
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
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SUMS OF WEIGHTED COMPOSITION OPERATORS ON COP [PDF]
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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Weight-preserving isomorphisms between spaces of continuous functions: The scalar case [PDF]
Let F be a finite field (or discrete) and let A andBB be vector spaces of F-valued continuous functions defined on locally compact spaces X and Y , respectively.
Ferrer González, María Vicenta +2 more
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Weighted Composition Operators and Supercyclicity Criterion [PDF]
We consider an equivalent condition to the property of Supercyclicity Criterion, and then we investigate this property for the adjoint of weighted composition operators acting on Hilbert spaces of analytic functions.
Bahmann Yousefi, Javad Izadi
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Spectrum of weighted composition operators. Part II: weighted composition operators on subspaces of Banach lattices [PDF]
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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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
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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