当前位置：
X-MOL 学术
›
Forum Math.
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces
Forum Mathematicum ( IF 1.0 ) Pub Date : 2020-07-01 , DOI: 10.1515/forum-2019-0319 Jiao Chen 1 , Wei Ding 2 , Guozhen Lu 3
Forum Mathematicum ( IF 1.0 ) Pub Date : 2020-07-01 , DOI: 10.1515/forum-2019-0319 Jiao Chen 1 , Wei Ding 2 , Guozhen Lu 3
Affiliation
Abstract After the celebrated work of L. Hörmander on the one-parameter pseudo-differential operators, the applications of pseudo-differential operators have played an important role in partial differential equations, geometric analysis, harmonic analysis, theory of several complex variables and other branches of modern analysis. For instance, they are used to construct parametrices and establish the regularity of solutions to PDEs such as the ∂ ¯ {\overline{\partial}} problem. The study of Fourier multipliers, pseudo-differential operators and Fourier integral operators has stimulated further such applications. It is well known that the one-parameter pseudo-differential operators are L p ( ℝ n ) {L^{p}({\mathbb{R}^{n}})} bounded for 1 < p < ∞ {1
中文翻译：
多参数局部Hardy空间上多参数伪微分算子的有界性
摘要 在 L. Hörmander 著名的单参数伪微分算子的工作之后，伪微分算子的应用在偏微分方程、几何分析、调和分析、多复变量理论等分支中发挥了重要作用。现代分析。例如，它们用于构造参数并建立 PDE 解的规律性，例如 ∂¯ {\overline{\partial}} 问题。傅立叶乘法器、伪微分算子和傅立叶积分算子的研究进一步激发了此类应用。众所周知，单参数伪微分算子是 L p ( ℝ n ) {L^{p}({\mathbb{R}^{n}})} 有界于 1 < p < ∞ {1
更新日期：2020-07-01
中文翻译：
多参数局部Hardy空间上多参数伪微分算子的有界性
摘要 在 L. Hörmander 著名的单参数伪微分算子的工作之后，伪微分算子的应用在偏微分方程、几何分析、调和分析、多复变量理论等分支中发挥了重要作用。现代分析。例如，它们用于构造参数并建立 PDE 解的规律性，例如 ∂¯ {\overline{\partial}} 问题。傅立叶乘法器、伪微分算子和傅立叶积分算子的研究进一步激发了此类应用。众所周知，单参数伪微分算子是 L p ( ℝ n ) {L^{p}({\mathbb{R}^{n}})} 有界于 1 < p < ∞ {1
京公网安备 11010802027423号