Results 11 to 20 of about 4,440 (181)
On Marcinkiewicz Integral with Homogeneous Kernels
Journal of Mathematical Analysis and Applications, 2000 The authors improve the boundedness theorems of the Marcinkiewicz integral \(\mu_\Omega\) on \(\roman{BMO}(\mathbb R^n)\) and the Campanato spaces \(\mathcal E^{\alpha, p}(\mathbb R^n)\). Recall the Campanato spaces. A locally integrable function \(f(x)\) is said to belong to \(\mathcal E^{\alpha, p}(\mathbb R^n)\) if \(\|f\|_{\alpha,p}=\sup_Q |Q ...
Ding, Yong, Lu, Shanzhen, Xue, Qingying
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A note on Marcinkiewicz integral operators
Journal of Mathematical Analysis and Applications, 2003 Let \(\mathbb{R}^n\), \(n\geq 2\), be the \(n\)-dimensional Euclidean space and \(S^{n-1}\) be the unit sphere in \(\mathbb{R}^n\) equipped with the normalized Lebesgue measure \(d\sigma\). Let \(\Omega\) be a homogeneous function of degree 0 satisfying \(\Omega\in L^1(S^{n-1})\) and \(\int_{S^{n-1}} \Omega(y')\, d\sigma(y')= 0\), where \(y'= y/| y|\in
Al-Qassem, H.M., Al-Salman, A.J.
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On the commutator of the Marcinkiewicz integral
Journal of Mathematical Analysis and Applications, 2003 Let \(n\geq 2\) and \(S^{n-1}\) be the unit sphere in \(\mathbb{R}^n\) equipped with the normalized Lebesgue measure \(d\sigma\). Suppose that \(\Omega\) is a homogeneous function of degree zero on \(\mathbb{R}^n\) that satisfies \(\Omega\in L(S^{n-1})\) and \(\int_{S^{n-1}}\Omega\,d\sigma= 0\).
Hu, Guoen, Yan, Dunyan
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Navigating infection by pathogenic spirochetes: The host-bacteria interface at the atomic level. [PDF]
Protein SciAbstract Pathogenic spirochetes bind and interact with various host structures and molecules throughout the course of infection. By utilizing their outer surface molecules, spirochetes can effectively modulate their dissemination, interact with immune system regulators, and select specific destination niches within the host.
Hejduk L +7 more
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Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
Open Mathematics, 2023 We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
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Axioms, 2022 In this paper, appropriate Lp bounds for particular classes of parabolic Marcinkiewicz integrals along surfaces of revolution on product spaces are obtained.
Mohammed Ali, Hussain Al-Qassem
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Marcinkiewicz integrals on product spaces [PDF]
Studia Mathematica, 2005 Let \(d \geq 2\) (\(d = n\) or \(d=m\)) and \(S^{d-1}\) be the unit sphere in \(\mathbb R^d\) equipped with the normalized Lebesgue measure \(d\sigma\). Suppose that \(\Omega\) is a homogeneous function of degree zero on \(\mathbb R^n\times \mathbb R\) that satisfies \(\Omega\in L(S^{n-1}\times S^{m-1})\) and \[ \int_{S^{n-1}}\Omega(x,y) d\sigma(x ...
Al-Qassem, H. +3 more
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Fractional type Marcinkiewicz integral operators associated to surfaces [PDF]
, 2013 In this paper, we discuss the boundedness of the fractional type Marcinkiewicz integral operators associated to surfaces, and extend a result given by Chen, Fan and Ying in 2002. They showed that under certain conditions the fractional type Marcinkiewicz
Sawano, Yoshihiro, Yabuta, Kôzô
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Optimal control of singular Fourier multipliers by maximal operators [PDF]
, 2013 We control a broad class of singular (or "rough") Fourier multipliers by geometrically-defined maximal operators via general weighted $L^2(\mathbb{R})$ norm inequalities. The multipliers involved are related to those of Coifman--Rubio de Francia--Semmes,
Bennett, Jonathan
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Triebel--Lizorkin space estimates for multilinear operators of sublinear operators [PDF]
, 2003 In this paper, we obtain the continuity for some multilinear operators related to certain non-convolution operators on the Triebel--Lizorkin space. The operators include Littlewood--Paley operator and Marcinkiewicz operator.Comment: 15 pages, no figures,
Lanzhe, Liu
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