Results 101 to 110 of about 38,177 (303)
On the Theory of Multilinear Singular Operators with Rough Kernels on the Weighted Morrey Spaces
We study some multilinear operators with rough kernels. For the multilinear fractional integral operators TΩ,αA and the multilinear fractional maximal integral operators MΩ,αA, we obtain their boundedness on weighted Morrey spaces with two weights Lp,κ(u,
Sha He, Xiangxing Tao
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In this article, we study necessary and sufficient conditions on the parameters of the boundedness on Morrey spaces and modified Morrey spaces for T Ω , α $T_{\Omega,\alpha}$ and M Ω , α $M_{\Omega,\alpha}$ , which are a multilinear fractional integral ...
Yanlong Shi+3 more
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Machine‐Learning‐Based, Feature‐Rich Prediction of Alumina Microstructure from Hardness
Herein, high‐performance generative adversarial network (GAN), named ‘Microstructure‐GAN’, is demonstrated. After training, the high‐fidelity, feature‐rich micrographs can be predicted for an arbitrary target hardness. Microstructure details such as small pores and grain boundaries can be observed at the nanometer scale in the predicted 1000 ...
Xiao Geng+10 more
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Sampling a design space to target a class of possible desirable outcomes, creating an artificial intuition, can accelerate future optimizations to those targets. This is tested experimentally with parameterization to achieve various geometries of freestanding structures using direct ink write (DIW) 3D printing.
Erick J. Braham+4 more
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Boundedness of a class of rough maximal functions
In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in Lq(Sn−1) $L^{q}(\mathbf{S}^{n-1})$, q>1 $q > 1$.
Mohammed Ali, Omar Al-mohammed
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This article describes a multimodal fusion data acquisition and processing system about electromyography for dynamic movement recognition and bioelectrical impedance for key posture recognition. In addition, a new dynamic–static fusion algorithm strategy is designed.
Chenhao Cao+5 more
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Geometric singularities and a flow tangent to the Ricci flow
We consider a geometric flow introduced by Gigli and Mantegazza which, in the case of smooth compact manifolds with smooth metrics, is tangen- tial to the Ricci flow almost-everywhere along geodesics.
Bandara, Lashi+2 more
core
UltRAP‐Net: Reverse Approximation of Tissue Properties in Ultrasound Imaging
This study proposes a reverse approximation neural network (UltRAP‐Net) to extract underlying physics‐aware properties using multiple images with distinct appearances obtained at the same location of tissues. Through this robust approximation, the study advances the use of ultrasound images by opening potentials for various applications such as physics‐
Yingqi Li+4 more
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A note on singular integrals with angular integrability
In this note we study the rough singular integral TΩf(x)=p.v.∫Rnf(x−y)Ω(y/|y|)|y|ndy, $$ T_{\varOmega }f(x)=\mathrm{p.v.} \int _{\mathbb{R}^{n}}f(x-y)\frac{\varOmega (y/ \vert y \vert )}{ \vert y \vert ^{n}}\,dy, $$ where n≥2 $n\geq 2$ and Ω is a ...
Feng Liu
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L^p bounds for singular integrals and maximal singular integrals with rough kernels [PDF]
Loukas Grafakos, Atanas Stefanov
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