弱Triebel-Lizorkin空间
发布时间：2018-08-07 11:01
【摘要】：本文研究了常指标的弱Triebel-Lizorkin空间的刻画以及变指标的弱Triebel-Lizorkin空间的刻画.主要内容如下:第一章为文献综述,符号说明和主要结果概述.在第二章,证明了常指标的弱Triebel-Lizorkin空间的Peetre’s极大函数刻画和原子分解刻画.在第三章,证明了变指标的弱Triebel-Lizorkin空间的Peetre’s极大函数刻画,φ变换刻画,原子分解和分子分解刻画.
[Abstract]:In this paper, we study the characterization of weakly Triebel-Lizorkin spaces with constant indices and weak Triebel-Lizorkin spaces with variable indices. The main contents are as follows: the first chapter is literature review, symbolic description and summary of main results. In chapter 2, we prove the Peetre's maximal function characterization and atomic decomposition characterization of weakly Triebel-Lizorkin spaces with constant indices. In chapter 3, we prove the characterization of Peetre's maximal function, 蠁 transformation, atomic decomposition and molecular decomposition of variable index weakly Triebel-Lizorkin spaces.
【学位授予单位】：海南师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O177
本文编号：2169817
[Abstract]:In this paper, we study the characterization of weakly Triebel-Lizorkin spaces with constant indices and weak Triebel-Lizorkin spaces with variable indices. The main contents are as follows: the first chapter is literature review, symbolic description and summary of main results. In chapter 2, we prove the Peetre's maximal function characterization and atomic decomposition characterization of weakly Triebel-Lizorkin spaces with constant indices. In chapter 3, we prove the characterization of Peetre's maximal function, 蠁 transformation, atomic decomposition and molecular decomposition of variable index weakly Triebel-Lizorkin spaces.
【学位授予单位】：海南师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O177
【参考文献】
相关期刊论文 前1条
1 DRIHEM Douadi;;Atomic decomposition of Besov-type and Triebel-Lizorkin-type spaces[J];Science China(Mathematics);2013年05期
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