A characterization of Bloch space and Besov space [PDF]
The analytic Besov space \(B_p ...
Kwon, E.G.
exaly +3 more sources
Composition Operators and the Closure of Morrey Space in the Bloch Space
In this paper, we characterize the closure of the Morrey space in the Bloch space. Furthermore, the boundedness and compactness of composition operators from the Bloch space to the closure of the Morrey space in the Bloch space are investigated.
Nanhui Hu, Xiangling Zhu
doaj +4 more sources
A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into -Bloch Spaces [PDF]
Let be any weight function defined on the unit disk and let be an analytic self-map of . In the present paper, we show that the essential norm of composition operator mapping from the weighted Bloch space to -Bloch space is comparable to where for ,
René E. Castillo +2 more
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Composition operators between p -Bloch space and q -Bloch space in the unit ball*
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Zhou, Zehua, Zeng, Honggang
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Some characterizations of the Besov space and the α-Bloch space
The authors give some characterizations of Besov spaces and \(\alpha\)-Bloch spaces on the unit ball of \({\mathbb{C}}^n\) by multiple integral, which extend some results in the settings of the unit disk. In addition, a coefficient characterization of the \(\alpha\)-Bloch space is given.
Songxiao Li, Stevo Stevic
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Dynamic tuning of Bloch modes in anisotropic phonon polaritonic crystals. [PDF]
Phonon polaritons, arising from the coupling of photons with lattice vibrations, enable light confinement on deeply subwavelength scales. Phonon polaritonic crystals (PoCs), leveraging these inherently low-dissipation excitations, have further shown ...
Xu J +13 more
europepmc +2 more sources
The composition operators on weighted Bloch space [PDF]
Let \(H(D)\) denote the set of all holomorphic functions in the open unit disk \(D\) and let \(\phi\) be a holomorphic selfmap of \(D\). Suppose that \(X\) and \(Y\) are two function spaces defined on \(D\). The map \(\phi\) is said to have the \(X\)-to-\(Y\) pullback property if \(f\circ \phi\in Y\) for every \(f\in X\).
exaly +4 more sources
Composition operators from logarithmic Bloch spaces to weighted Bloch spaces [PDF]
Slightly shortened to 21 pages with corrected proofs of the boundedness and essential norm main results, as well as reorganization of the development of the material, thanks to the comments of anonymous referees and S. Stevi\'{c}
René Erlin Castillo +3 more
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Difference of weighted composition operators from α-Bloch spaces to β-Bloch spaces
In this paper, we study the boundedness and compactness of the differences of two weighted composition operators acting from $α$-Bloch space to $β$-Bloch space on the open unit disk. This study has a relationship to the topological structure of weighted composition from $α$-Bloch space to $β$-Bloch space.
Xu, Ning, Zhou, Ze-Hua
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Landau–Bloch Constants for Functions in α-Bloch Spaces and Hardy Spaces
Comment: 11 pages.
Chen, Shaolin +2 more
openaire +4 more sources

