Results 71 to 80 of about 15,311 (291)
Second-Order Linear Differential Equations with Solutions in Analytic Function Spaces
Journal of Function Spaces, 2019 This research is concerned with second-order linear differential equation f′′+A(z)f=0, where A(z) is an analytic function in the unit disc. On the one hand, some sufficient conditions for the solutions to be in α-Bloch (little α-Bloch) space are found by
Jianren Long +3 more
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Advanced Science, EarlyView.Interlayer sliding in the RuO2Zn2F2 bilayer induces ferroelectricity and enables reversible valley polarization switching. The electric dipole and valley‐resolved band edges are intimately coupled, revealing sliding ferroelectricity as a powerful mechanism for electrical control of valley degrees of freedom in 2D materials.
Djamel Bezzerga +3 more
wiley +1 more source
Fractional Derivative Description of the Bloch Space
Potential AnalysisAbstractWe establish new characterizations of the Bloch space $$\mathcal {B}$$ B which include descriptions in terms of classical fractional derivatives. Being precise, for an analytic function $$f(z)=\sum _{n=0}^\infty \widehat{f}(n) z^n$$ f (
Moreno, Álvaro Miguel +2 more
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The Bohr Radius of the Weighted Bloch Spaces
Lobachevskii Journal of Mathematics, 2023 The concept of the Bohr radius of a pair of Banach spaces is introduced. The lower estimate for the value of the Bohr radius from the Bloch space to the space of bounded functions obtained by I. Kayumov, S. Ponnusamy and N. Shakirov is slightly improved. It is shown that for any weighted Bloch space the Bohr radius is not less than $1/\sqrt{2}$.
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The basic properties of Bloch functions
International Journal of Mathematics and Mathematical Sciences, 1979 A Bloch function f(z) is an analytic function on the unit disc 𝔻 whose derivative grows no faster than a constant times the reciprocal of the distance from z to ∂𝔻. We reprove here the basic analytic facts concerning Bloch functions.
Joseph A. Cima
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, 2012 The space and time fractional Bloch-Torrey equation (ST-FBTE) has been used to study anomalous diffusion in the human brain. Numerical methods for solving ST-FBTE in three-dimensions are computationally demanding.
Liu, Fawang +7 more
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Flexoelectricity in Photoconversion: Fundamentals, Materials, and Outlooks
Advanced Science, EarlyView.Mechanical bending of a flexible cantilever induces a strain gradient in the photoactive material. The resulting flexoelectric field couples with photovoltaic and photoconductive effects, modulating charge generation, separation, and collection. A comparative analysis of oxide perovskites, halide perovskites, and two‐dimensional materials is presented,
Xiang Huang, Feng Li, Rongkun Zheng
wiley +1 more source
Characterizations of Bloch-Type Spaces of Harmonic Mappings
Journal of Function Spaces, 2019 We study the Banach space BHα (α>0) of the harmonic mappings h on the open unit disk D satisfying the condition supz∈D(1-z2)α(hzz+hz¯z)0 the mappings in BHα can be characterized in terms of a Lipschitz condition relative to the metric defined by dH,α(z ...
Munirah Aljuaid, Flavia Colonna
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Bloch and Wannier functions in momentum space
, 1988 Direct calculations of wave functions in momentum space require a study of the formal properties of such functions. Here we discuss the momentum space counterparts of Bloch and Wannier functions, both in general and for two extreme kinds of basis set ...
Jean-Louis Calais
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Quantum metrology with Bloch Oscillations in Floquet phase space
, 2023 Quantum particles performing Bloch oscillations in a spatially periodic potential can be used as a very accurate detector of constant forces. We find that the similar oscillations that can appear in the Floquet phase space of a quantum particle subjected
Meystre, Pierre +7 more
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