SPECTRAL MULTIPLIER THEOREM AND SUB-GAUSSIAN HEAT KERNEL ESTIMATES

被引：0

作者：

Chen, Peng ^{[1
]}

Lin, Xixi ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

来源：

COLLOQUIUM MATHEMATICUM | 2022年 / 170卷 / 02期

关键词：

spectral multipliers; sub-Gaussian heat kernel estimate; nonnegative self-adjoint operators; weak type (1,1); spaces of homogeneous type; HORMANDER-TYPE; OPERATORS;

D O I：

10.4064/cm8681-11-2021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study general spectral multiplier theorems for nonnegative self-adjoint operators on spaces of homogeneous type. We show that a Hormander type spectral multiplier theorem follows from sub-Gaussian upper bounds for the corresponding heat kernel. Our result can be applied to fractal manifolds and quantum graphs.

引用

页码：193 / 210

页数：18

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