论文标题

关于强硬木的最大功能的评论

A remark on the Hardy-Littlewood maximal functions

论文作者

Pan, Wu-yi

论文摘要

我们研究了非中心的耐铁木材最大操作员的幅度关系,并以一个为中心。通过使用离散化技术,我们证明了两个事实:第一个事实是,当两个最大运算符在所有离散度量方面相同时,空间是超级实体的;第二个是,如果$(m,d_g)$是riemannian歧管,而无关的最大运算符严格大于中心运算符,而$μ$是Riemannian的体积度量。

We investigate the magnitude relation of the non-centered Hardy-Littlewood maximal operators and centered one. By using a discretization technique, we prove two facts: the first one is that the space is ultrametric if and only if the two maximal operators are identical for all discrete measure; the second is, the uncentred maximal operator is strictly greater than the centered one if $(M,d_g)$ is a Riemannian manifold and $μ$ is the Riemannian volume measure.

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