Results 61 to 70 of about 1,254,978 (283)

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 ...
openaire   +2 more sources

Short and Length‐Independent Group Delay Supported by Topological Edge States in Finite‐Size Su–Schrieffer–Heeger Chains

Advanced Materials Technologies, EarlyView.
This study demonstrates short, length‐independent group delay supported by topological edge states in open Su–Schrieffer–Heeger networks. Strong boundary port coupling enables an order‐of‐magnitude latency reduction compared to bulk modes, alongside robust protection against bulk disorder.
Yu‐Han Chang, Nadia Daniela Rivera Torres, Santiago Figueroa Manrique, Raul A. Robles Robles, Vanna Chrismas Silalahi, Cen‐Shawn Wu, Gang Wang, Giulia Marcucci, Laura Pilozzi, Claudio Conti, Ray‐Kuang Lee, Watson Kuo   +11 more
wiley   +1 more source

Fractional Derivative Description of the Bloch Space

Potential Analysis
AbstractWe 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, Peláez-Márquez, José Ángel, De la Rosa, Elena   +2 more
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Hyperuniform Disorder in Photonic Crystal Slabs With Intrinsic Non‐Hermiticity

Advanced Optical Materials, EarlyView.
Light propagation in photonic crystal slabs with imposed hyperuniform disorder is investigated theoretically and numerically. The hyperuniform disorder is imposed by varying the hole size. The photonic crystal is intrinsically non‐Hermitian due to radiative loss, with non‐Hermiticity appearing as a complex effective mass of a quadratic photonic band ...
Zeyu Zhang, Koorosh Sadri, Brian Gould, Mikael C. Rechtsman   +3 more
wiley   +1 more source

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.
openaire   +2 more sources

Photonic Time Crystals and Time‐Varying Electromagnetic Metamatter: A New Direction for Ultrafast Tunable Photonic and Microwave Materials and Devices

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, Shriram Ramanathan, Ronald P. Jenkins, Michael J. Carter   +3 more
wiley   +1 more source

Description of Bloch spaces, weighted Bergman spaces and invariant subspaces, and related questions

Kuwait Journal of Science, 2016
Let D be the unit disc of complex plane C, and H=Hol(D) the class of functions analytic in D. Recall that an f∈Hol(D) is said to belong to the Bloch space B=B(D) if ‖f‖_{B}:=sup_{z∈D}(1-|z|²)|f′(z)|
Mübariz T. Garayev, Mehmet Gürdal, Ulaş Yamancı   +2 more
doaj  

Interlayer‐Sliding‐Enabled Multiferroicity and Giant Switchable Anomalous Hall Conductivity in RuO2Zn2F2 Bilayer

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, Imran Khan, Ganie Suhail Ahmad, Jisang Hong   +3 more
wiley   +1 more source

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

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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