Results 11 to 20 of about 190,309 (283)

A New Essential Norm Estimate of Composition Operators from Weighted Bloch Space into -Bloch Spaces [PDF]

open access: yesJournal 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 ,   is a certain special function in the weighted Bloch space. As a consequence of our estimate, we extend
René Erlín Castillo   +2 more
openaire   +2 more sources

Dynamic tuning of Bloch modes in anisotropic phonon polaritonic crystals. [PDF]

open access: yesLight Sci Appl
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

Chirped Bloch-harmonic oscillations in a parametrically forced optical lattice

open access: yesPhysical 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
doaj   +1 more source

Stiefel-Whitney topological charges in a three-dimensional acoustic nodal-line crystal

open access: yesNature 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
doaj   +1 more source

Composition Operators and the Closure of Morrey Space in the Bloch Space

open access: yesJournal 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
doaj   +1 more source

Distance from Bloch-Type Functions to the Analytic Space F(p,q,s)

open access: yesAbstract 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
doaj   +1 more source

Integral type operators from normal weighted Bloch spaces to QT,S spaces

open access: yesJournal of Hebei University of Science and Technology, 2016
Operator theory is an important research content of the analytic function space theory. The discussion of simultaneous operator and function space is an effective way to study operator and function space.
Yongyi GU, Wenjun YUAN, Fanning MENG
doaj   +1 more source

The shape of higher-dimensional state space: Bloch-ball analog for a qutrit [PDF]

open access: yesQuantum, 2021
Geometric intuition is a crucial tool to obtain deeper insight into many concepts of physics. A paradigmatic example of its power is the Bloch ball, the geometrical representation for the state space of the simplest possible quantum system, a two-level ...
Christopher Eltschka   +3 more
doaj   +1 more source

Norm and Essential Norm of Composition Followed by Differentiation from Logarithmic Bloch Spaces to Hμ∞

open access: yesAbstract and Applied Analysis, 2014
In this note we express the norm of composition followed by differentiation DCφ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space Hμ∞ on the unit disk and give an upper and a lower bound for the essential norm of ...
Shanli Ye
doaj   +1 more source

Geometry of entangled states, Bloch spheres and Hopf fibrations [PDF]

open access: yes, 2001
We discuss a generalization to 2 qubits of the standard Bloch sphere representation for a single qubit, in the framework of Hopf fibrations of high dimensional spheres by lower dimensional spheres.
Bouwmeester D   +6 more
core   +2 more sources

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