Maximal polynomial modulations of singular Radon transforms

被引：0

作者：

Becker, Lars ^{[1
]}

机构：

[1] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2024年 / 286卷 / 06期

关键词：

Carleson operator; Radon Transform; Anisotropic dilations; Singular integrals; CONVERGENCE;

D O I：

10.1016/j.jfa.2023.110299

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove L2 -> Lp estimates on the torus for maximal polynomial modulations of Calderon-Zygmund operators with anisotropic scaling. We obtain improved constants in these estimates. As a corollary, maximal polynomial modulations of a mollified version of the Hilbert transform along the parabola are bounded with only logarithmic dependence of the estimate on the Lipschitz constant of the mollifier. (c) 2023 Elsevier Inc. All rights reserved.

引用

页数：46

共 50 条

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