Results 41 to 50 of about 3,408 (306)

A Class of Unbounded Fourier Multipliers on the Unit Complex Ball

Abstract and Applied Analysis, 2014
We introduce a class of Fourier multiplier operators Mb on n-complex unit sphere, where the symbol b∈Hs(Sω). We obtained the Sobolev boundedness of Mb. Our result implies that the operators Mb take a role of fractional differential operators on ∂𝔹.
Pengtao Li, Jianhao Lv, Tao Qian
doaj   +1 more source

Martingales and sharp bounds for Fourier multipliers [PDF]

Annales Academiae Scientiarum Fennicae Mathematica, 2012
Using the argument of Geiss, Montgomery-Smith and Saksman \cite{GMSS}, and a new martingale inequality, the $L^p$--norms of certain Fourier multipliers in $\R^d$, $d\geq 2$, are identified. These include, among others, the second order Riesz transforms $R_j^2$, $j=1, 2,..., d$, and some of the L vy multipliers studied in \cite{BBB}, \cite{BB}
Rodrigo Bañuelos, Adam Osękowski
openaire   +3 more sources

Ultra‐Fast Non‐Volatile Resistive Switching Devices with Over 512 Distinct and Stable Levels for Memory and Neuromorphic Computing

Advanced Functional Materials, EarlyView.
A materials and device design concept that comprises a self‐assembled ultra‐thin epitaxial ion‐transporting layer, an amorphous oxide overcoat oxygen‐blocking layer, and a partial filament formed during an electroforming step is proposed for low‐current multilevel resistive switching devices.
Ming Xiao, Markus Hellenbrand, Nives Strkalj, Babak Bakhit, Zhuotong Sun, Nikolaos Barmpatsalos, Dovydas Joksas, Hongyi Dou, Zedong Hu, Ping Lu, Samip Karki, Sundar Kunwar, Jonathan D. Major, Aiping Chen, Haiyan Wang, Quanxi Jia, Adnan Mehonic, Judith L. MacManus‐Driscoll   +17 more
wiley   +1 more source

H-Distributions: An Extension of H-Measures to an Lp-Lq Setting

Abstract and Applied Analysis, 2011
We use the continuity of Fourier multiplier operators on Lp to introduce the H-distributions—an extension of H-measures in the Lp framework. We apply the H-distributions to obtain an Lp version of the localisation principle and reprove the Murat Lp-Lp ...
Nenad Antonić, Darko Mitrović
doaj   +1 more source

Fourier multipliers of Lipschitz spaces

Journal of Mathematical Analysis and Applications, 1982
AbstractLet G denote an infinite, compact, metrizable, 0-dimensional, Abelian group. The following are characterized: (i) the multipliers from one Lipschitz space Lip(α, p; G) to another Lipschitz space Lip(β, q; G) for 0 < α < β < ∞ and 1 ⩽ p, q ⩽ ∞; and (ii) the multipliers from Lip(α, p; G) to Lip(β, q; G) for 0 < β ⩽ α < ∞ and 1 < q ⩽ 2 ⩽ p ...
T.S Quek, Leonard Y.H Yap, Leonard Y.H Yap   +2 more
openaire   +2 more sources

Linear Peridynamics Fourier Multipliers and Eigenvalues

Journal of Peridynamics and Nonlocal Modeling, 2023
A characterization for the Fourier multipliers and eigenvalues of linear peridynamic operators is provided. The analysis is presented for state-based peridynamic operators for isotropic homogeneous media in any spatial dimension. We provide explicit formulas for the eigenvalues in terms of the space dimension, the nonlocal parameters, and the material ...
Bacim Alali, Nathan Albin
openaire   +2 more sources

Wetting of Surface Grafted Hydrophilic‐b‐Hydrophobic Block Copolymer Brushes

Advanced Functional Materials, EarlyView.
The wetting properties of surface grafted diblock copolymer brushes are influenced by the thickness of the hydrophilic bottom block and the hydrophobic top block. The surface adapts in presence of water and the contact angles of the bottom block shine through. Abstract The wetting of diblock copolymer brushes by water is studied.
Benjamin Leibauer, Andres de los Santos Pereira, Diego Fernando Dorado Daza, Y. Wang, A.S. Hazrah, Ognen Pop‐Georgievski, Hans‐Jürgen Butt, Rüdiger Berger   +7 more
wiley   +1 more source

Remarks on the Unimodular Fourier Multipliers on α-Modulation Spaces

Journal of Function Spaces, 2014
We study the boundedness properties of the Fourier multiplier operator eiμ(D) on α-modulation spaces Mp,qs,α  (0 ...
Guoping Zhao, Jiecheng Chen, Weichao Guo
doaj   +1 more source

Light‐Mediated Photomultiplication via Cascade Energy Transfer in Organic Photodiode

Advanced Functional Materials, EarlyView.
Light‐mediated photomultiplication via cascade energy transfer in organic photodiode demonstrates external quantum efficiency exceeding 200% and specific detectivity surpassing 5.0 × 1013 Jones. This advancement effectively addresses the limitation of elevated dark current density characteristic of prior photomultiplication organic photodetectors ...
Gae Hwang Lee, Jae‐Hyun Kim, Hyunbum Kang, Jaebin Jeong, Jong Won Chung, Dongwook Kim, Jaehoon Park, Youngjun Yun, Sungjun Park   +8 more
wiley   +1 more source

The local geometry of idempotent Schur multipliers

Forum of Mathematics, Pi
A Schur multiplier is a linear map on matrices which acts on its entries by multiplication with some function, called the symbol. We consider idempotent Schur multipliers, whose symbols are indicator functions of smooth Euclidean domains.
Javier Parcet, Mikael de la Salle, Eduardo Tablate   +2 more
doaj   +1 more source