Besov空间的等价刻画

Q3 Mathematics

Abstract and Applied Analysis Pub Date : 2021-04-26 DOI:10.1155/2021/6688250

Cong He, Jingchun Chen

引用次数: 3

摘要

本文给出了Besov空间的一个等价刻画。这揭示了混合导数范数与单变量范数之间的等价关系。傅立叶乘法器、实插值和Littlewood-Paley分解被应用。

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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Equivalent Characterization on Besov Space

In this paper, we give an equivalent characterization of the Besov space. This reveals the equivalent relation between the mixed derivative norm and single-variable norm. Fourier multiplier, real interpolation, and Littlewood-Paley decomposition are applied.

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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.