Quantitative weighted estimates for harmonic analysis operators in the Bessel setting by using sparse domination

2021/10/05 by Victor Manoel Cunha de Almeida, Almeida, Víctor, Jorge J. Betancor +5
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2110.01917

Abstract

In this paper we obtain quantitative weighted L^p-inequalities for some operators involving Bessel convolutions. We consider maximal operators, Littlewood-Paley functions and variational operators. We obtain L^p(w)-operator norms in terms of the A_p-characteristic of the weight w. In order to do this we show that the operators under consideration are dominated by a suitable family of sparse operators in the space of homogeneous type ((0,∞),|⋅ |,x^2λdx).

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