Results 21 to 30 of about 5,409 (243)
Sums of Weighted Differentiation Composition Operators [PDF]
We solve an interpolation problem in $A^p_ $ 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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Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
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Spectra of Weighted Composition Operators with Quadratic Symbols
Previously, spectra of certain weighted composition operators W ѱ, φ on H2 were determined under one of two hypotheses: either φ converges under iteration to the Denjoy-Wolff point uniformly on all of 𝔻 rather than simply on compact subsets, or φ is ...
Doctor Jessica +4 more
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Continuous Frames Under the Weighted Composition Operators on the Weighted Bergman Space
We investigate the behavior of continuous frames in the weighted Bergman space Aα2 over the unit disc under the action of weighted composition operators. Motivated by developments in the discrete frame setting, we provide a comprehensive characterization
Fatma Bozkurt, Faruk Yilmaz
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We study the boundedness and compactness of the weighted composition operators as well as integral-type operators between weighted Hardy spaces on the unit ball.
Stevo Stević, Sei-Ichiro Ueki
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Differences of weighted composition operators
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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Generalized Weighted Composition Operators on Weighted Bergman Spaces [PDF]
Summary: The boundedness, compactness, essential norm, Hilbert-Schmidt class and order boundedness of generalized weighted composition operators on weighted Bergman spaces are investigated in this paper. For Part I, see [\textit{X. Zhu}, Numer. Funct. Anal. Optim. 30, No. 7--8, 881--893 (2009; Zbl 1183.47030)].
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Weighted Differentiation Composition Operators to Bloch-Type Spaces
We characterized the boundedness and compactness of weighted differentiation composition operators from BMOA and the Bloch space to Bloch-type spaces. Moreover, we obtain new characterizations of boundedness and compactness of weighted differentiation ...
Junming Liu +2 more
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We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
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We characterize the boundedness and compactness of differences of the composition operators followed by differentiation between weighted Banach spaces of holomorphic functions in the unit disk.
Cui Chen, Ren-Yu Chen, Ze-Hua Zhou
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