Results 241 to 250 of about 8,931 (261)

Oscillatory Singular Integrals with Rough Kernel

1995
This paper is devoted to the study on the L p -boundedness for the oscillatory singular integral defined by $$ Tf(x) = p.v.\int_{\mathbb{R}^n } {e^{iP(x,y)} } K(x - y)f(y)dy, $$ where P(x,y) is a real polynomial on ℝ n × ℝ n , and \( K(x) = \frac{{h(\mid x\mid \Omega (x)}} {{\mid x\mid ^n }} \) with Ω ∈ Llog + L(S n−1) and h ∈ BV(ℝ+) (i.e.
Yinsheng Jiang, Shanzhen Lu
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A roughness-penalty view of kernel smoothing

Statistics & Probability Letters, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Commutators and rough kernels without zero homogeneous condition

International Journal of Wavelets, Multiresolution and Information Processing, 2018
In this paper, we consider the commutator [Formula: see text] where [Formula: see text] and [Formula: see text] is defined by the convolution type Calderón–Zygmund operators satisfying the weak boundedness condition and Hörmander condition, we prove its continuity by using wavelets, decomposition of compensated quantity by wavelets and commutators on ...
Qixiang Yang, Zengjian Lou
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Parabolic singular integrals with rough kernels and extrapolation

SCIENTIA SINICA Mathematica, 2014
This paper is devoted to studying the parabolic singular integrals with rough kernels both on the unit sphere and in the radial direction, as well as the corresponding maximal singular integrals. By the estimates of Fourier transforms, the Littlewood-Paley theory and the extrapolation arguments, under the rather weak size conditions, which are the best
Feng LIU, HuoXiong WU
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Rough estimates on the scalar heat kernel

2011
This chapter establishes rough estimates on the heat kernel rb,tX for the scalar hypoelliptic operator AbX on X defined in the preceding chapter. By rough estimates, this chapter refers to just the uniform bounds on the heat kernel. The chapter also obtains corresponding bounds for the heat kernels associated with operators AbX and another AbX over ̂X.
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Jump and Variational Inequalities for Singular Integral with Rough Kernel

Acta Mathematica Sinica, English Series
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Yanping, Yang, Liu, Qu, Meng
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Kernelized Fuzzy-Rough Anomaly Detection

IEEE Transactions on Fuzzy Systems
Yan Wu, Sihan Wang, Hongmei Chen 0001, Dezhong Peng, Zhong Yuan   +4 more
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Hardy-type operators with rough kernels on central Morrey space with variable exponent

Advances in Operator Theory, 2023
Hongbin Wang
exaly  

Measures associated with granularity and rough approximations in interval-valued information tables based on kernel similarity relations

Information Sciences, 2020
Xi-Ao Ma
exaly  

Gaussian kernel based fuzzy rough sets: Model, uncertainty measures and applications

International Journal of Approximate Reasoning, 2010
Qinghua Hu, Degang Chen
exaly