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Weighted Calderón-Hardy spaces [PDF]

Mathematica Bohemica
We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
doaj   +1 more source

Weighted composition operators on Hardy–Smirnov spaces

Concrete Operators, 2022
Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj   +1 more source

Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.
Heydari Mohammad Taghi
doaj   +1 more source

Ionic Liquid (IL) Compatibilization of Macropore‐Infused Nanocomposite Emulsion Thermosets (MINETs) for Structural Ion Transport

Advanced Materials Interfaces, EarlyView.
Macropore‐infused nanocomposite emulsion thermosets (MINETs) offer tunable multifunctionality due to their incorporation of structural resin, functional nanoparticles, and working fluid stabilized by surfactant. Here we show that if ionic liquid working fluids are introduced, structural capacitive (conductive particles) or separator (insulating ...
Bryan Llumiquinga, Iris You, Nare Cho, Madhuri Deb, Jordan C. Pierce, Kevin M. Miller, Jonathan P. Singer   +6 more
wiley   +1 more source

Dielectric Permittivity Tensor of Muscovite for Next Generation All Van Der Waals Broadband Photonic Components

Advanced Optical Materials, EarlyView.
Low‐index and low‐loss vdW muscovite represents an emerging robust dielectric platform for the creation of next‐generation all‐vdW nanophotonic architectures. Its utilization as a low‐index building‐block in all‐vdW multilayers enables extreme optical contrast when paired with MoS2, paving the way to the realization of few‐layer ultrathin DBS ...
Meri H. Hayrapetyan, Maksim L. Sargsyan, Davit A. Karakhanyan, Ani P. Khachatryan, Maria A. Levonyan, Dmitrii Litvinov, Maciej Koperski, Artsruni V. Margaryan, Makars Šiškins, Konstantin S. Novoselov, Davit A. Ghazaryan   +10 more
wiley   +1 more source

Marcinkiewicz integrals with variable kernels on Hardy and weak Hardy spaces

Journal of Function Spaces and Applications, 2010
In this article, we consider the Marcinkiewicz integrals with variable kernels defined by μΩ(f)(x)=(∫0∞|∫|x−y|≤tΩ(x,x−y)|x−y|n−1f(y)dy|2dtt3)1/2, where Ω(x,z)∈L∞(ℝn)×Lq(Sn−1) for q > 1.
Xiangxing Tao, Xiao Yu, Songyan Zhang
doaj   +1 more source

Variable Anisotropic Hardy Spaces with Variable Exponents

Analysis and Geometry in Metric Spaces, 2021
Let p(·) : ℝn → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝn introduced by Dekel et al. [12].
Yang Zhenzhen, Yang Yajuan, Sun Jiawei, Li Baode   +3 more
doaj   +1 more source

A Multidirectional Textile Interface for Remote Control Using Dynamic Area‐Based Capacitance Modulation

Advanced Robotics Research, EarlyView.
Here, we present a textile, wearable capacitive interface enabling multidirectional remote control by dynamically modulating electrode overlap and spacing via a freely gliding upper electrode. A forearm‐mounted prototype drives robotic and media tasks with 12–15 ms latency, maintains < 0.8% drift after 500 cycles, and remains stably functional at 90 ...
Cagatay Gumus, Fulya Yenilmez, Kadir Ozlem, Hakan Kestir, Eren Tasdemir, Berkant Bakisli, Gökhan Ince, Ozgur Atalay, Asli Tuncay Atalay   +8 more
wiley   +1 more source

Composition-Differentiation Operators on Derivative Hardy Spaces

Journal of Mathematics
We first explore conditions under which every weighted composition-differentiation operator on the Hardy space H1D is completely continuous. We then discuss necessary and sufficient conditions for these operators to be Hilbert–Schmidt on the derivative ...
A. Abkar, A. Babaei
doaj   +1 more source

Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

Open Mathematics
In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional ...
Kalybay Aigerim
doaj   +1 more source