Results 61 to 70 of about 3,966,597 (289)
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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Advanced Science, EarlyView.Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel +3 more
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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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TOEPLITZ OPERATORS ON BLOCH-TYPE SPACES AND A GENERALIZATION OF BLOCH-TYPE SPACES
Journal of the Chungcheong Mathematical Society, 2014 We deal with the boundedness of the n-th derivatives of Bloch-type functions and Toeplitz operators and give a relationship between Bloch-type spaces and ranges of Toeplitz operators. Also we prove that the vanishing property of jjuk fi jj s;fi on the boundary ofD implies the compactness of Toeplitz operators and introduce a generalization of Bloch ...
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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
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Bloch, Adolpho -- 1972-92 -- Correspondence, Individual -- letter, 1979-12-20
, 1979 Letter from Bloch, Adolpho to Sabin, Albert B.
Bloch, Adolpho, 1908-
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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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Besov-type characterisations for the Bloch space [PDF]
Bulletin of the Australian Mathematical Society, 1989 We will prove local and global Besov-type characterisations for the Bloch space and the little Bloch space. As a special case we obtain that the Bloch space consists of those analytic functions on the unit disc whose restrictions to pseudo-hyperbolic discs (of fixed pseudo-hyperbolic radius) uniformly belong to the Besov space.
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HADAMARD GAPS IN WEIGHTED LOGARITHMIC BLOCH SPACE [PDF]
, 2010 We give a sufficient and a necessary condition for an analytic function "f" on the unit disk "D" with Hadamard gap to belong to a class of weighted logarithmic Bloch space as well as to the corresponding little weighted logarithmic Bloch space under some
Kamal, A. +3 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
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