Bochner Riesz乘子的稀疏双线性形式及其应用

IF 1.1 Q1 MATHEMATICS Transactions of the London Mathematical Society Pub Date : 2016-05-20 DOI:10.1112/tlm3.12005

C. Benea, F. Bernicot, T. Luque

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引用次数: 45

摘要

我们使用Lacey在[A2边界的基本证明，Israel J. Math]中开发的最新方法。由Bernicot, Frey和Petermichl在[Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal]中扩展。PDE 9(2016) 1079-1113]，以稀疏双线性形式控制Bochner-Riesz算子。通过这种方法，我们推导出了新的量化加权估计和向量值不等式。

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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Sparse bilinear forms for Bochner Riesz multipliers and applications

We use the very recent approach developed by Lacey in [An elementary proof of the A2 Bound, Israel J. Math., to appear] and extended by Bernicot, Frey and Petermichl in [Sharp weighted norm estimates beyond Calderón‐Zygmund theory, Anal. PDE 9 (2016) 1079–1113], in order to control Bochner–Riesz operators by a sparse bilinear form. In this way, new quantitative weighted estimates, as well as vector‐valued inequalities are deduced.

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