正规实型对称空间上一种极大函数的可和性

The Summability of a Maximal Function on the Symmetric Space of a Normal Real Form

Ｎｏｅｌ Ｌｏｈｏｕｅ证明了复对称空间上形如的极大函数的可和性可归结为 的可和性及ｆ（ｘ）叫的可和性．本文利用正规实型对称空间上热核的一个上界估计，证明了上述结果对正规实型对称空间亦成立．

Noel Lohoue has proved the summability of a maximal function such as on the complex symmetric space can be reduced to the summability of and the summability of f(x). In this paper, a similar result was proved on the symmetric space of a normal real form, by use of an upper-bounded estimation of the heat kernel on the symmetric space of a normal real form.