关于多线性伪微分算子和迭代换向子的注解

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/BKMS.B190532

Yongming Wen, Huo-xiong Wu, Qingying Xue

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引用次数: 1

摘要

本文给出了符号σ为Hörmander类的多线性伪微分算子的迭代对易子的稀疏支配性，并建立了这类对易子的Bloom型估计的数量界。此外，还得到了相应的多线性伪微分算子的Cp估计。

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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A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS

This paper gives a sparse domination for the iterated commutators of multilinear pseudo-differential operators with the symbol σ belonging to the Hörmander class, and establishes the quantitative bounds of the Bloom type estimates for such commutators. Moreover, the Cp estimates for the corresponding multilinear pseudo-differential operators are also obtained.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

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).