Unboundedness of the trilinear Hilbert transform under the critical index

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of the Korean Mathematical Society Pub Date : 2021-09-01 DOI:10.4134/JKMS.J200656

Y. Komori‐Furuya

引用次数: 0

Abstract

. Demeter [1] and Kuk and Lee [5] proved the unboundedness of the trilinear Hilbert transforms H a,b,c under the critical index 1 / 2 for some parameters a,b and c . We show the unboundedness of H a,b,c for any parameters.

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临界指标下三线性希尔伯特变换的无界性

Demeter[1]、Kuk和Lee[5]证明了三线性Hilbert变换在临界指数1/2下对某些参数a、b和c的无界性。我们证明了Ha，b，c对任何参数的无界性。

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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来源期刊

Journal of the Korean Mathematical Society 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).