Results 1 to 10 of about 38,078 (204)
A Remark on Multilinear Singular Integrals with Rough Kernels [PDF]
Journal of Mathematical Analysis and Applications, 2001 In this paper, the authors establish the (Lp(Rn),Lq(Rn))-boundedness of some multilinear singular integrals with rough kernels in the Hardy spaces on unit spheres, where ...
Pan, Yibiao, Wu, Qiang, Yang, Dachun
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A note on maximal singular integrals with rough kernels [PDF]
Journal of Inequalities and Applications, 2020 In this note we study the maximal singular integral operators associated with a homogeneous mapping with rough kernels as well as the corresponding maximal operators.
Xiao Zhang, Feng Liu
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Singular Integrals With Rough Kernels [PDF]
Canadian Mathematical Bulletin, 2004 AbstractIn this paper we establish the Lp boundedness of a class of singular integrals with rough kernels associated to polynomial mappings.
Ahmad Al-Salman, Yibiao Pan
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The spectrum of random kernel matrices: universality results for rough and varying kernels [PDF]
Random Matrices: Theory and Applications, 2013 We consider random matrices whose entries are f() or f(||Xi-Xj||^2) for iid vectors Xi in R^p with normalized distribution. Assuming that f is sufficiently smooth and the distribution of Xi's is sufficiently nice, El Karoui [17] showed that the spectral ...
Do, Yen, Vu, Van
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Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces [PDF]
Journal of Inequalities and Applications, 2017 Let φ : R n × [ 0 , ∞ ) → [ 0 , ∞ ) $\varphi:\mathbb{R}^{n}\times[0, \infty) \to[0, \infty)$ satisfy that φ ( x , ⋅ ) $\varphi(x, \cdot)$ , for any given x ∈ R n $x\in\mathbb{R}^{n}$ , is an Orlicz function and φ ( ⋅ , t ) $\varphi(\cdot, t)$ is a ...
Bo Li, Minfeng Liao, Baode Li
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Heat kernels and regularity for rough metrics on smooth manifolds [PDF]
Mathematische Nachrichten, 2020 AbstractWe consider rough metrics on smooth manifolds and corresponding Laplacians induced by such metrics. We demonstrate that globally continuous heat kernels exist and are Hölder continuous locally in space and time. This is done via local parabolic Harnack estimates for weak solutions of operators in divergence form with bounded measurable ...
Lashi Bandara, Paul Bryan
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A PARABOLIC SINGULAR INTEGRAL OPERATOR WITH ROUGH KERNEL [PDF]
Journal of the Australian Mathematical Society, 2008 AbstractLet Ω(y′) be an H1(Sn−1) function on the unit sphere satisfying a certain cancellation condition. We study the Lp boundedness of the singular integral operator where α≥n and ρ is a norm function which is homogeneous with respect to certain nonistropic dilation. The result in the paper substantially improves and extends some known results.
Yanping Chen, Yong Ding, Dashan Fan
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Kernel Neighborhood Rough Sets Model and Its Application [PDF]
Complexity, 2018 Rough set theory has been successfully applied to many fields, such as data mining, pattern recognition, and machine learning. Kernel rough sets and neighborhood rough sets are two important models that differ in terms of granulation. The kernel rough sets model, which has fuzziness, is susceptible to noise in the decision system.
Kai Zeng, Si-Yuan Jing
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Kernel Based Rough-Fuzzy C-Means [PDF]
, 2013 Data clustering has found its usefulness in various fields. Algorithms are mostly developed using euclidean distance. But it has several drawbacks which maybe rectified by using kernel distance formula. In this paper, we propose a kernel based rough-fuzzy C-Means (KRFCM) algorithm and use modified version of the performance indexes (DB and D) obtained ...
Rohan Bhargava, B. K. Tripathy
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Building on the functional-analytic framework of operator-valued kernels and un-truncated signature kernels, we propose a scalable, provably convergent signature-based algorithm for a broad class of high-dimensional, path-dependent hedging problems. We make minimal assumptions about market dynamics by modelling them as general geometric rough paths ...
Nicola Muca Cirone, Cristopher Salvi
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