Atomic Decomposition for Triebel-Lizorkin Spaces of Para-accretive Type

• Main Authors: Rong-Jhong Ciou, 邱榮忠
• Other Authors: KunChuan Wang
• Format: Others
• Language: en_US
• Published: 2010
• Online Access: http://ndltd.ncl.edu.tw/handle/54241715779752016921

碩士 === 國立東華大學 === 數學系 === 98 === In this article, we study the atomic decomposition for Triebel-Lizorkin spaces of para-accretive type $\dot{F}^{\alpha,q}_{b,p}$, $\alpha \in (-\varepsilon ,\varepsilon )$, $\max\{n/(n+\varepsilon), n/(n+\alpha+\varepsilon)\}< p \le 1$, $p \le q < \infty$ and $b$ a para-accretive function, which reduces to the classical Triebel-Lizorkin spaces $\dot{F}^{\alpha,q}_p$ when the para-accretive function is constant. Using the atomic decomposition for $f\in \dot{F}^{\alpha,q}_{b,p}$, we prove a reduced version of $Tb$ theorem.