Results 11 to 20 of about 147,239 (238)
Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions [PDF]
Discrete Analysis, 2018 Improved $\ell^p$-Boundedness for Integral $k$-Spherical Maximal Functions, Discrete Analysis 2018:10, 18pp. An important role in harmonic analysis is played by the notion of a _maximal function_ (which is actually a non-linear operator on a space of ...
Theresa C. Anderson +3 more
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Spherical maximal functions, variation and oscillation inequalities on Herz spaces [PDF]
Arab Journal of Basic and Applied Sciences, 2019 In this work, the boundedness of the spherical maximal function, the mapping properties of the fractional spherical maximal functions, the variation and oscillation inequalities of Riesz transforms on Herz spaces have been established.
Kwok-Pun Ho
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Dunkl-spherical maximal function [PDF]
Positivity, 2013 In this paper, we study the Lp-bondedness of the spherical maximal function associated to the Dunkl operators.Comment: 16 pages.
Jemai, Abdessattar
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Bilinear Spherical Maximal Functions of Product Type [PDF]
Journal of Fourier Analysis and Applications, 2021 In this paper we introduce and study a bilinear spherical maximal function of product type in the spirit of bilinear Calder n-Zygmund theory. This operator is different from the bilinear spherical maximal function considered by Geba et al. We deal with lacunary and full versions of this operator, and we prove weighted estimates with respect to ...
Luz Roncal +2 more
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Sparse bounds for the bilinear spherical maximal function
Journal of the London Mathematical Society, 2023 AbstractWe derive sparse bounds for the bilinear spherical maximal function in any dimension . When , this immediately recovers the sharp bound of the operator and implies quantitative weighted norm inequalities with respect to bilinear Muckenhoupt weights, which seems to be the first of their kind for the operator.
Borges, Tainara +4 more
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The spherical maximal operator on radial functions
Journal of Mathematical Analysis and Applications, 2012 The spherical maximal function in \(\mathbb{R}^n\) is bounded in \(L^p\) if and only if \(p> n/(n-1)\). The case \(n=2\) is more difficult then \(n\geq 3\). In the present work the action of the spherical maximal function is restricted to radial functions. Then it is itself radial. Even now it is unbounded in \(L^p\) is \(p\leq n/(n-1)\).
Duoandikoetxea, Javier +2 more
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The Critical Weighted Inequalities of the Spherical Maximal Function
The Journal of Geometric AnalysisWeighted inequality on the Hardy-Littlewood maximal function is completely understood while it is not well understood for the spherical maximal function. For the power weight $|x|^α$, it is known that the spherical maximal operator on $\mathbb{R}^d$ is bounded on $L^p(|x|^α)$ only if $1-d\leq α<(d-1)(p-1)-d$ and under this condition, it is known to ...
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Analytic embedding of pseudo-Helmholtz geometry [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 For modern geometry, the study of maximal mobility geometries is of great importance. Some of these geometries are well studied (Euclidean, pseudo-Euclidean, symplectic, spherical, Lobachevsky, etc.), and others are poorly understood (Helmholtz, pseudo ...
Kyrov, Vladimir A.
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AIP Advances, 2023 Interactions between symmetric two metallic spheres and an electromagnetic (EM) field polarized in the symmetric axis are described. Spherical symmetries of the present systems are exploited by the use of bi-spherical coordinates. Boundary conditions are
Y. Ben-Aryeh
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Approximation of Gaussian Curvature by the Angular Defect: An Error Analysis
Mathematical and Computational Applications, 2021 It is common practice in science and engineering to approximate smooth surfaces and their geometric properties by using triangle meshes with vertices on the surface.
Marie-Sophie Hartig
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