Results 91 to 100 of about 495,262 (315)
A class of singular integrals associated with Zygmund dilations [PDF]
arXiv, 2017 The main purpose of this paper is to study multi-parameter singular integral operators which commute with Zygmund dilations. We introduce a class of singular integral operators associated with Zygmund dilations and show the boundedness for these operators on $L^p, 1
arxiv
Variable Anisotropic Singular Integral Operators [PDF]
arXiv, 2020 We introduce the class of variable anisotropic singular integral operators associated to a continuous multi-level ellipsoid cover $\Theta$ of $\mathbb{R}^n$ introduced by Dahmen, Dekel, and Petrushev \cite{ddp}. This is an extension of the classical isotropic singular integral operators on $\mathbb{R}^n$ of arbitrary smoothness and their anisotropic ...
arxiv
Singular integral operators for an unlimited contour
Bulletin des Sciences Mathématiques, 2007 AbstractLet Γ be a closed or unclosed unlimited contour, a shift α(t) maps homeomorphically the contour Γ onto itself with preserving or reversing the direction on Γ and also satisfies the conditions for some natural number n⩾2, αn(t)≅t, and αj(t)≇t for 1 ...
Vasile Nyaga, Mekki Terbeche
openaire +2 more sources
Scalable Fabrication of Height‐Variable Microstructures with a Revised Wetting Model
Advanced Engineering Materials, EarlyView.Height‐variable microstructures are fabricated using a scalable CO2 laser machining approach, enabling precise control of wettability through structural gradients. Classical wetting models fail to capture height‐induced effects, necessitating a revised theoretical framework.
Prabuddha De Saram +2 more
wiley +1 more source
A higher-order singularity subtraction technique for the discretization of singular integral operators on curved surfaces [PDF]
arXiv, 2013 This note is about promoting singularity subtraction as a helpful tool in the discretization of singular integral operators on curved surfaces. Singular and nearly singular kernels are expanded in series whose terms are integrated on parametrically rectangular regions using high-order product integration, thereby reducing the need for spatial ...
arxiv
Active Hydrogen for Electrochemical Ammonia Synthesis
Advanced Functional Materials, EarlyView.This review provides a comprehensive overview of the active hydrogen (H*) for electrochemical ammonia synthesis with particular attention given to the regulation of H* generation and consumption to suppress the competition of hydrogen evolution reaction and enhance the yield, selectivity, and Faradaic efficiency of ammonia.
Guoqiang Gan, Guo Hong, Wenjun Zhang
wiley +1 more source
Multilinear integral operators and mean oscillation [PDF]
Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 3, August
2004, pp. 235-251, 2005 In this paper, the boundedness properties for some multilinear operators related to certain integral operators from Lebesgue spaces to Orlicz spaces are obtained. The operators include Calder\'on--Zygmund singular integral operator, fractional integral operator, Littlewood--Paley operator and Marcinkiewicz operator.
arxiv
Hiperbolic singular integral operators
Revista Matemática Iberoamericana, 1995 We define a class of integral operators which are singular relative to the hyperbolic metric on simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on L^2 of the upper half plane relative to the hyperbolic metric.
openaire +2 more sources
Covalently‐Bonded Diaphite Nanoplatelet with Engineered Electronic Properties of Diamond
Advanced Functional Materials, EarlyView.A novel approach to engineering the electronic properties of diamond is reported on the diaphite nanoplatelet consisting of (11¯${{\bar{1}}}$1) planes of diamond nanoplatelet covalently bonded with graphite (0001) planes. The strong sp3/sp2‐hybridized interfacial covalent bonding induces the electron transfer from diamond to graphite, resulting in a ...
Zhaofeng Zhai +9 more
wiley +1 more source
ON INTEGRAL OPERATORS WITH FIBER SINGULAR TYPE HOMOGENEOUS KERNELS IN THE SPACE LP(R2).
Advanced Engineering Research, 2007 A new class of integral operators with fiber singular type homogeneous kernels in the space Lp(R2) is introduced. This new class includes the class of operators with SO(2)-invariant homogeneous kernels.
V.М. DEUNDYAK, H.A. STEPANUCHENKO
doaj