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Composition Operators and the Closure of Morrey Space in the Bloch Space
Journal of Function Spaces, 2019 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
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A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into -Bloch Spaces [PDF]
Journal of Function Spaces and Applications, 2013 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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On the closures of Dirichlet type spaces in the Bloch space
Complex Analysis and Operator Theory, 2019 In this paper, via high order derivatives and via embedding derivatives of Bloch type functions into Lebesgue spaces, we characterize the closures of Dirichlet type spaces in the Bloch space.
Göğüş, Nihat Gökhan, Bao, Guanlong
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The closure of derivative average radial integrable spaces in the Bloch space
Journal of Inequalities and ApplicationsA description of the closure in the Bloch space of the Bloch functions that are in the derivative average radial integrable space is given. As a byproduct, we get some new characterizations for the Bloch space B $\mathcal{B}$ , the little Bloch space B 0
Xiangling Zhu, Rong Yang
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Distance from Bloch-Type Functions to the Analytic Space F(p,q,s) [PDF]
Abstract and Applied Analysis, 2014 The analytic space F(p,q,s) can be embedded into a Bloch-type space. We establish a distance formula from Bloch-type functions to F(p,q,s), which generalizes the distance formula from Bloch functions to BMOA by Peter Jones, and to F(p,p-2,s) by Zhao.
Cheng Yuan, Cezhong Tong
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Dynamic tuning of Bloch modes in anisotropic phonon polaritonic crystals [PDF]
Light: Science & ApplicationsPhonon 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 ...
Junbo Xu +13 more
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Closure of Hardy spaces in the Bloch space
Journal of Mathematical Analysis and Applications, 2016 A description of the Bloch functions that can be approximated in the Bloch norm by functions in the Hardy space $H^p$ of the unit ball of $\mathbb{C}^n$ for ...
Monreal Galán, Nacho +5 more
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Distortion Type Theorems for Functions in the Logarithmic Bloch Space [PDF]
Journal of Function Spaces, 2017 We establish distortion type theorems for locally schlicht functions and for functions having branch points satisfying a normalized Bloch condition in the closed unit ball of the logarithmic Bloch space Blog.
Armando J. García-Ortíz +2 more
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Phase-space representations of the Bloch equation [PDF]
Physical Review A, 1985 We discuss the phase-space representation of the Bloch equation and present analytic expressions for two generalized classes of distribution functions. Series solutions to order of ħ2 are given.
Wang, Lipo. +3 more
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Weighted Composition Operator from Mixed Norm Space to Bloch-Type Space on the Unit Ball [PDF]
Abstract and Applied Analysis, 2014 We discuss the boundedness and compactness of the weighted composition operator from mixed norm space to Bloch-type space on the unit ball of Cn.
Yu-Xia Liang, Ren-Yu Chen
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