多线性最大波赫纳--里兹均值和平方函数的 $L^{p}$ 估计值

arXiv - MATH - Classical Analysis and ODEs Pub Date : 2024-08-30 DOI:arxiv-2408.17069

Kalachand Shuin

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摘要

在本文中，我们研究了$L^{p}$的多线性最大Bochner--Riesz均值及相应平方函数的有界性。我们借鉴了 "Maximal estimates for bilinearBochner--Riesz means" (Adv. Math. 395(2022) 108100) 一文中的观点。395(2022) 108100）中给出的思想来证明我们的结果。

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$L^{p}$ estimates for multilinear maximal Bochner--Riesz means and square function

In this article we have investigated $L^{p}$ boundedness of the multilinear maximal Bochner--Riesz means and the corresponding square function. We have exploited the ideas given in the paper "Maximal estimates for bilinear Bochner--Riesz means" (Adv. Math. 395(2022) 108100) by Jotsaroop and Shrivastava, in order to prove our results.

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arXiv - MATH - Classical Analysis and ODEs

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