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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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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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Full-Bloch beams and ultrafast Rabi-rotating vortices
Physical Review Research, 2021 Strongly coupled quantum fields, such as multicomponent atomic condensates, optical fields, and polaritons, are remarkable systems where the simple dynamics of coupled oscillators can meet the intricate phenomenology of quantum fluids.
Lorenzo Dominici +10 more
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Difference of weighted composition operators from α-Bloch spaces to β-Bloch spaces
Rocky Mountain Journal of Mathematics, 2021 In this paper, we study the boundedness and compactness of the differences of two weighted composition operators acting from $ $-Bloch space to $ $-Bloch space on the open unit disk. This study has a relationship to the topological structure of weighted composition from $ $-Bloch space to $ $-Bloch space.
Xu, Ning, Zhou, Ze-Hua
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Landau–Bloch Constants for Functions in α-Bloch Spaces and Hardy Spaces
Complex Analysis and Operator Theory, 2012 Comment: 11 pages.
Chen, Shaolin +2 more
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Composition operators from logarithmic Bloch spaces to weighted Bloch spaces [PDF]
Applied Mathematics and Computation, 2013 We characterize the analytic self-maps $ $ of the unit disk ${\Bbb D}$ in ${\Bbb C}$ that induce continuous composition operators $C_ $ from the log-Bloch space $\mathcal{B}^{\log}({\Bbb D})$ to $ $-Bloch spaces ${\mathcal B}^ ({\Bbb D})$ in terms of the sequence of quotients of the $ $-Bloch semi-norm of the $n$th power of $ $ and the log-Bloch ...
Castillo, René E. +3 more
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Analytic Morrey Spaces and Bloch-Type Spaces [PDF]
Journal of Function Spaces, 2018 This paper is devoted to characterizing the boundedness of the Riemann-Stieltjes operators from analytic Morrey spaces to Bloch-type spaces. Moreover, the boundedness of the superposition operator and weighted composition operator on analytic Morrey spaces is discussed, respectively.
Ofori Samuel, Jianfei Wang, Yile Zhao
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Chirped Bloch-harmonic oscillations in a parametrically forced optical lattice
Physical Review Research, 2023 The acceleration theorem for wave packet propagation in periodic potentials disentangles the k-space dynamics and real space dynamics. This is well known and understood for Bloch oscillations and super Bloch oscillations in the presence of position ...
Usman Ali +2 more
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Geometrical Description of the Local Integrals of Motion of Maxwell-Bloch Equation [PDF]
, 1995 We represent a classical Maxwell-Bloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is given by an infinitesimal action of a nilpotent subalgebra $n_+$ of affine Lie algebra $\hat {sl}_2$
Antonov, A. V. +2 more
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Bloch-Type Spaces of Minimal Surfaces [PDF]
Journal of Function Spaces, 2018 We study Bloch-type spaces of minimal surfaces from the unit disk D into Rn and characterize them in terms of weighted Lipschitz functions. In addition, the boundedness of a composition operator Cϕ acting between two Bloch-type spaces is discussed.
Guanghua He, Xi Fu, Hancan Zhu
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