Stability of Localized Integral Operators on Normal Spaces of Homogeneous Type
Stability of Localized Integral Operators on Normal Spaces of Homogeneous Type
复制标题
齐次型正规空间上的局域积分算子的稳定性
DOI：
10.1080/01630563.2018.1560316
复制
发表时间：
2019
影响因子：
1.2
通讯作者：
Shin Chang Eon
中科院分区：
文献类型：
--
作者：
Fang Qiquan;Shin Chang Eon
摘要线性算子的Lp-稳定性是许多研究领域的基本概念之一。本文在齐型正规空间上引入一族局部化积分算子，使得其核具有非对角衰减性、对角附近的轻度奇异性和一定的Hölder正则性，并证明了这一族局部化积分算子对不同的指数具有等价的Lp-稳定性.
Abstract The Lp-stability of linear operators is one of fundamental concepts in many research fields. In this article, we introduce a family of localized integral operators on a normal space of homogeneous type such that their kernels have some off-diagonal decay, mild singularity near the diagonal and certain Hölder regularity, and we show that localized integral operators in the family have their Lp-stability to be equivalent for different exponents .