Results 21 to 30 of about 2,175,773 (278)
On radial Fourier multipliers and almost everywhere convergence [PDF]
Journal of the London Mathematical Society, 2014 We study a.e. convergence on $L^p$, and Lorentz spaces $L^{p,q}$, $p>\tfrac{2d}{d-1}$, for variants of Riesz means at the critical index $d(\tfrac 12-\tfrac 1p)-\tfrac12$. We derive more general results for (quasi-)radial Fourier multipliers and associated maximal functions, acting on $L^2$ spaces with power weights, and their interpolation spaces ...
Sanghyuk Lee, Andreas Seeger
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STUDY OF ALMOST EVERYWHERE CONVERGENCE OF SERIES BY MEANS OF MARTINGALE METHODS
, 2016 Martingale methods are used to study the almost everywhere convergence of general function series. Applications are given to ergodic series, which improves recent results of Fan [9], and to dilated series, including Dav-enport series, which completes ...
Cuny, Christophe, Ai-Hua, Fan
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Polynomial sequences in discrete nilpotent groups of step 2
Advanced Nonlinear Studies, 2023 We discuss some of our work on averages along polynomial sequences in nilpotent groups of step 2. Our main results include boundedness of associated maximal functions and singular integrals operators, an almost everywhere pointwise convergence theorem ...
Ionescu Alexandru D. +3 more
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IdeAs, 2021 For the past ten years, the city of Detroit in the United States has gone through a large-scale territorial reconversion. Culture has played a pivotal role in the process and, as almost everywhere else, it has been reshaped by discourses and policies on ...
Simon Renoir
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Almost everywhere convergence of series in 𝐿¹ [PDF]
Proceedings of the American Mathematical Society, 2005 We answer positively a question of J. Rosenblatt (1988), proving the existence of a sequence ( c i
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Some results in harmonic analysis related to pointwise convergence and maximal operators [PDF]
, 2012 Pointwise convergence problems are of fundamental importance in harmonic analysis and studying the boundedness of associated maximal operators is the natural viewpoint from which to consider them.
Bailey, Andrew David
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Abstract and Applied Analysis, 2013 We study almost everywhere convergence for Riesz means related to Schrödinger operator with constant magnetic fields. Through researching the weighted norm estimates for the maximal operator with power-weight functions, we obtain the desired result ...
Liurui Deng, Bolin Ma
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Social distancing is a social dilemma game played by every individual against his/her population
PLoS ONE, 2021 Since the outbreak of the global COVID-19 pandemic, social distancing has been known to everyone and recommended almost everywhere everyday. Social distancing has been and will be one of the most effective measures and sometimes, the only available one ...
Zhijun Wu
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NSVQ: Noise Substitution in Vector Quantization for Machine Learning
IEEE Access, 2022 Machine learning algorithms have been shown to be highly effective in solving optimization problems in a wide range of applications. Such algorithms typically use gradient descent with backpropagation and the chain rule.
Mohammad Hassan Vali, Tom Backstrom
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Rearrangement and Convergence in Spaces of Measurable Functions
Journal of Inequalities and Applications, 2007 We prove that the convergence of a sequence of functions in the space L0 of measurable functions, with respect to the topology of convergence in measure, implies the convergence μ-almost everywhere (μ denotes the Lebesgue measure) of the sequence ...
A. Trombetta +2 more
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