【摘要】：本文研究了常指標的弱Triebel-Lizorkin空間的刻畫以及變指標的弱Triebel-Lizorkin空間的刻畫.主要內(nèi)容如下:第一章為文獻綜述,符號說明和主要結(jié)果概述.在第二章,證明了常指標的弱Triebel-Lizorkin空間的Peetre’s極大函數(shù)刻畫和原子分解刻畫.在第三章,證明了變指標的弱Triebel-Lizorkin空間的Peetre’s極大函數(shù)刻畫,φ變換刻畫,原子分解和分子分解刻畫.
[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.
【學(xué)位授予單位】：海南師范大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：O177

【參考文獻】

相關(guān)期刊論文 前1條

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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本文編號：2169817