Commutators of Bilinear Pseudodifferential Operators and Lipschitz Functions

Benyi Arpad; Naibo Virginia

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Commutators of Bilinear Pseudodifferential Operators and Lipschitz Functions

机译：Bilinear Pseudififferential operator和Lipschitz功能的换向器

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摘要

Commutators of bilinear pseudodifferential operators and the operation of multiplication by a Lipschitz function are studied. The bilinear symbols of the pseudodifferential operators considered belong to classes that are shown to properly contain certain bilinear Hormander classes of symbols of order one. The corresponding commutators are proved to be bilinear Caldern-Zygmund operators.

机译：研究了双线性伪分散运营商的换向器和Lipschitz功能的乘法操作。被认为的伪分子运算符的双线性符号属于所示的类，以正确地包含订单符号的某些双线性霍尔森德类。被证明是相应的换向器是Bilinear Caldern-Zygmund运算符。

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来源
《The journal of fourier analysis and applications》 |2018年第3期|共21页
作者
Benyi Arpad; Naibo Virginia;
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作者单位

Western Washington Univ Dept Math 516 High St Bellingham WA 98225 USA;

Kansas State Univ Dept Math 138 Cardwell Hall 1228 N 17th St Manhattan KS 66506 USA;

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原文格式 PDF
正文语种 eng
中图分类傅里叶分析（经典调和分析）;
关键词
Commutators; Bilinear pseudodifferential operators; Bilinear Calderon-Zygmund theory;

机译：换向器;Bilinear Pseudifififferential operators;Bilinear Calderon-Zygmund理论;

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专利

1. THE BOUNDEDNESS OF BILINEAR SINGULAR INTEGRAL OPERATORS ON SIERPINSKI GASKETS [J] . Ming Xu, Shengmei Wang 分析、理论与应用（英文版） . 2011,第001期
2. THE BOUNDEDNESS OF BILINEAR SINGULAR INTEGRAL OPERATORS ON SIERPINSKI GASKETS [J] . Ming Xu, Shengmei Wang 分析论及其应用：英文版 . 2011,第001期
3. SOME GENERALIZATIONS ON THE BOUNDEDNESS OF BILINEAR OPERATORS [J] . 分析论及其应用：英文版 . 1997,第003期
4. Weighted Lipschitz Estimate for Commutator of Bochner-Riesz Operators on Weighted Morrey Spaces [J] . Shanshan Zhang, Lisheng Shu 分析、理论与应用（英文版） . 2014,第002期
5. Commutators of Bilinear Pseudodifferential Operators and Lipschitz Functions [J] . Benyi Arpad, Naibo Virginia The journal of fourier analysis and applications . 2018,第3期

机译：Bilinear Pseudififferential operator和Lipschitz功能的换向器
6. Smoothing of Commutators for a H?rmander Class of Bilinear Pseudodifferential Operators [J] . árpád Bényi, Tadahiro Oh The journal of fourier analysis and applications . 2014,第2期

机译：双线性伪微分算子的Handern类的交换子的平滑
7. Bilinear pseudodifferential operators with forbidden symbols on Lipschitz and Besov spaces [J] . Benyi A. Journal of Mathematical Analysis and Applications . 2003,第1期

机译：Lipschitz和Besov空间上带有禁止符号的双线性伪微分算子
8. Linear or bilinear mappings between spaces of continuous or Lipschitz functions [C] . Fernando Rambla-Barreno International Course of Mathematical Analysis in Andalucia . 2012

机译：连续或嘴唇杂交功能空间之间的线性或双线性映射
9. Leibniz-type Rules Associated to Bilinear Pseudodifferential Operators [D] . Brummer, Joshua 2018

机译：与双线性伪微分算子相关的Leibniz型规则
10. Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents [O] . Jingshi Xu, Jinlai Zhu -1

机译：Besov和Triebel–Lizorkin空间中具有可变指数的与双线性Hörmander类相关的双线性伪微分算子的估计
11. Smoothing of commutators for a Hörmander class of bilinear pseudodifferential operators [O] . Benyi, Arpad, Oh, Tadahiro 2014

机译：Hörmander类双线性伪微分算子的换向器平滑
12. Iterated commutators and functions of operators [R] . Volkin, H. C. 1968

机译：迭代的换向器和操作员的功能

Commutators of Bilinear Pseudodifferential Operators and Lipschitz Functions

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