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-  2015 

分数阶截断算子的有界性
The boundedness of the fractional truncation operators

DOI: 10.7523/j.issn.2095-6134.2015.04.001

Keywords: 奇异积分算子,Minkowski 不等式,H?lder 不等式,Fubini 定理
singular operator
,Minkowski's inequality,H?lder's inequality,Fubini theorem

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Abstract:

摘要 研究两类截断算子从 Lp 到 Lr 的有界性问题.需要指出的是, 对于某个固定的 p, 可得到 r的一个变化区间,刻画出这个区间与分数阶的关系. 此外,还给出算子范数上界的一个估计.

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