Results 61 to 70 of about 15,311 (291)

Composition operators on Bloch-Orlicz type Spaces of the unit Ball

四川大学学报. 自然科学版, 2018
Using Young’s functions, we define the Bloch-Orlicz space and show that the Bloch-Orlicz space is isometrically equal to a special certain -Bloch space. By the analysis methods and constructing test functions, we investigate the boundedness, compactness ...
HE Zhong-Hua, DENG Yi
doaj  

Essential Norm of Generalized Integral-Type Operator from the Fractional Cauchy Transform Space into Weighted Bloch and Dirichlet Spaces

Axioms
In this paper, we investigate the generalized integral-type operator acting between the fractional Cauchy transform space and two classical analytic function spaces: the weighted Bloch space and the weighted Dirichlet space.
Mostafa Hassanlou, Ebrahim Abbasi, Maryam G. Alshehri   +2 more
doaj   +1 more source

Transducers Across Scales and Frequencies: A System‐Level Framework for Multiphysics Integration and Co‐Design

Advanced Materials Technologies, EarlyView.
Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu, Mengyao Xiao, Zhouli Sui, Yinpeng Wang, Daoye Zheng, Yuxin Liu, Luwei Wang, Huajun Liu, Chengkuo Lee   +8 more
wiley   +1 more source

Hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space

四川大学学报. 自然科学版, 2017
We characterize the hypercyclicity of weighted composition operators on the Little Bloch Space and the Besov space.We obtain that there are no hypercyclic composition operators on the Little Bloch Space and the Besov space when holomorphic self-map is an
ZHOU Ning, CHEN Cui
doaj  

Non-Diskcyclicity of Bounded Composition Operators on the Little Bloch Space and the Besov Space

Journal of Mathematics, 2022
In this paper, we show that there are no diskcyclic composition operators on the little Bloch space ℬ0 and the Besov spaces Bp.
Hang Zhou, Yuxia Liang
doaj   +1 more source

Waveguide Geometry–Driven Trade‐Offs in Resonant Cavity Sensor Performance

Advanced Optical Materials, EarlyView.
Waveguide geometry governs the interplay between sensitivity, intrinsic Q‐factor, and wavelength noise in silicon nitride resonant sensors. Contrary to intuition, higher sensitivity does not ensure superior performance. Low‐noise, high‐Q ridge resonators achieve the lowest detection limits, revealing that detection is ultimately constrained by noise ...
Mohammad Talebi Khoshmehr, Bakiye Imran Akca, Mateusz Słowikowski, Drecka Dagmara, Marcin Juchniewicz, Ryszard Piramidowicz, Muhammad Ali Butt   +6 more
wiley   +1 more source

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

Weighted Composition Operators from H∞ to the Bloch Space on the Polydisc

Abstract and Applied Analysis, 2007
Let Dn be the unit polydisc of ℂn, ϕ(z)=(ϕ1(z),…,ϕn(z)) be a holomorphic self-map of Dn, and ψ(z) a holomorphic function on Dn. Let H(Dn) denote the space of all holomorphic functions with domain Dn, H∞(Dn) the space of all bounded holomorphic functions ...
Songxiao Li, Stevo Stevic
doaj   +1 more source

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

The closure of Dirichlet spaces in the Bloch space

Annales Academiae Scientiarum Fennicae Mathematica, 2019
Let $\mathbb{D}$ be the open unit disk in the complex plane, and let $\mathrm{Hol}(\mathbb{D})$ denote the class of holomorphic functions in the unit disk. A function $f\in \mathrm{Hol}(\mathbb{D})$ is said to belong to the Bloch space $\mathcal{B}$ if \[ \|f\|_{\mathcal{B}}=|f(0)|+\sup_{z\in\mathbf{D}}(1-|z|^2)|f^\prime (z)|-1$, and $p\in (0, \infty)$,
Galanopoulos, Petros, Girela, Daniel
openaire   +2 more sources