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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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Composition Operators From Logarithmic Bloch Spaces to Weighted Bloch Spaces [PDF]
Applied Mathematics and Computation, 2013 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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Closure of Hardy Spaces in the Bloch Space
Journal of Mathematical Analysis and Applications, 2015 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 $\Cn$ for ...
Nacho Monreal Galán +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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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 $α$-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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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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Distance of a Bloch Function to the Little Bloch Space [PDF]
Bulletin of the Australian Mathematical Society, 2006 Motivated by a formula of P. Jones that gives the distance of a Bloch function to BMOA, the space of bounded mean oscillations, we obtain several formulas for the distance of a Bloch function to the little Bloch space, β 0 . Immediate consequences are equivalent expressions for functions in β
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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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The Bergman Spaces, The Bloch Space, and Gleason's Problem [PDF]
Transactions of the American Mathematical Society, 1988 Suppose f f is a holomorphic function on the open unit ball
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Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal
Nature Communications, 2023 Band topology of materials describes the extent Bloch wavefunctions are twisted in momentum space. Such descriptions rely on a set of topological invariants, generally referred to as topological charges, which form a characteristic class in the ...
Haoran Xue +6 more
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