Results 51 to 60 of about 102,471 (344)
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
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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
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Advanced Engineering Materials, EarlyView.Developing process parameters for the laser‐based Powder Bed Fusion of metals can be a tedious task. Based on melt pool depth, the process parameters are transferable to different laser scan speeds. For this, understanding the melt pool scaling behavior is essential, particularly for materials with high thermal diffusivity, as a change in scaling ...
Markus Döring +2 more
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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
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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 +2 more
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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
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A Spectral Multiplier Theorem associated with a Schr\"odinger Operator [PDF]
, 2015 We establish a spectral multiplier theorem associated with a Schr\"odinger operator H=-\Delta+V(x) in \mathbb{R}^3. We present a new approach employing the Born series expansion for the resolvent.
Hong, Younghun
core
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 +17 more
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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
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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 +7 more
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