- 期刊
Besov數列空間的原子分解
The Atomic Decomposition of Sequence Spaces of Besov type
摘要
在此論文中，作者使用M. Frazier與B. Jawerth引進之原子分解觀念來刻劃Besov數列空間上的正矩陣算子的有界性之充分與必要條件。利用此原子分解，可以應用於「幾米對角矩陣算子」和「Foueier乘積算子」的有界性。
並列摘要
In this note, we use atoms, which were introduced by M. Frazier and B. Jawerth for other sequence spaces, for b(superscript aq subscript p) to characterize the necessary and sufficient conditions for boundedness of a positive operator with matrix {a(subscript QP)}(subscript Q, P) on b(superscript aq subscript p). Then we will give applications to a special type of operators, included the almost diagonal operator, and the Fourier multiplier operators acting on Besov spaces B(superscript aq subscript p).
延伸閱讀
- Yang, T. H. (2012). 非同質哈弟空間原子分解 [master's thesis, National Central University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0031-1903201314453702
- 蘇立揚（2018）。以原子層級理論計算探討向列式液晶分子的官能基對旋轉黏度係數的影響〔碩士論文，國立臺灣大學〕。華藝線上圖書館。https://doi.org/10.6342/NTU201801750
- Jhe, W. Y. (2016). BSO(7)之上同調之代數分解 [master's thesis, National Tsing Hua University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0016-0411201614423773
- Fan, L. W. (2014). 原子序1到4的原子基態和氫原子高階諧波產生的計算 [master's thesis, National Chiao Tung University]. Airiti Library. https://doi.org/10.6842/NCTU.2014.01043
- Khalaf, A. B., Darwesh, H. M., & Kannan, K. (2012). Some Types of Separation Axioms in Topological Spaces. Tamsui Oxford Journal of Information and Mathematical Sciences, 28(3), 303-326. https://doi.org/10.6988/TOJIMS.201208.0303