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.
In this paper, we consider the boundedness of two kinds of the truncated operators from Lp to Lr. For any fixed p we can obtain a variational interval of r, and we characterize the relationship between the interval and the fractional operators. We also give an estimate of the upper bound of the norm of the operator.
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