Weighted Norm Inequalities for Multilinear Fourier Multipliers with Mixed Norm

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-12-13 DOI:10.1155/2021/8289155

Mai Fujita

引用次数: 0

Abstract

In this paper, weighted norm inequalities for multilinear Fourier multipliers satisfying Sobolev regularity with mixed norm are discussed. Our result can be understood as a generalization of the result by Fujita and Tomita by using the

L^{r}

-based Sobolev space,

1 < r \leq 2

with mixed norm.

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混合范数的多重线性傅里叶乘法器的加权范数不等式

本文讨论了具有混合范数的满足Sobolev正则的多重线性傅立叶乘子的加权范数不等式。我们的结果可以理解为Fujita和Tomita使用基于L r的Sobolev空间的结果的推广，1 r≤2，混合范数。

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

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.