Boundedness and concentration of random singular integrals defined by wavelet summability kernels

2021/01/19 by Hugo Aimar, Ivana Gómez, Aimar, Hugo +1
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2101.07863

openalex publication_date 2021/01/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use Cramér-Chernoff type estimates in order to study the Calderón-Zygmund structure of the kernels ∑_I\inDa_I(ω)ψ_I(x)ψ_I(y) where a_I are subgaussian independent random variables and \ψ_I: I\inD\ is a wavelet basis where D are the dyadic intervals in ℝ. We consider both, the cases of standard smooth wavelets and the case of the Haar wavelet.

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