螺旋最大函数的非对角估计值

IF 1.5 1区数学 Q1 MATHEMATICS

Proceedings of the London Mathematical Society Pub Date : 2024-04-08 DOI:10.1112/plms.12594

David Beltran, Jennifer Duncan, Jonathan Hickman

引用次数: 0

摘要

除了端点之外，还得到了（局部）螺旋最大函数的最优 Lp→Lq$L^p \rightarrow L^q$ 映射性质。证明依赖于多线性谐波分析工具，特别是贝内特-卡伯瑞-陶限制定理的局部化版本。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Off-diagonal estimates for the helical maximal function

The optimal

L^{p} \to L^{q} $L^p \rightarrow L^q$

mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analysis and, in particular, a localised version of the Bennett–Carbery–Tao restriction theorem.

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来源期刊

Proceedings of the London Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Proceedings of the London Mathematical Society is the flagship journal of the LMS. It publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers. The Proceedings has its own Editorial Board separate from that of the Journal, Bulletin and Transactions of the LMS.