Schatten classes on compact manifolds: Kernel conditions
Schatten classes on compact manifolds: Kernel conditions
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紧致流形上的 Schatten 类：核条件
DOI：
10.1016/j.jfa.2014.04.016
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发表时间：
2014
影响因子：
1.7
通讯作者：
Delgado J
中科院分区：
文献类型：
--
作者：
Delgado J
本文给出了紧流形上的积分算子属于Schatten类的积分核判据。建立了一种特殊的核性检验方法和相应的迹线公式。在紧李群的特殊情况下，给出了（局部和整体）亚椭圆算子的核准则。
In this paper we give criteria on integral kernels ensuring that integral operators on compact manifolds belong to Schatten classes. A specific test for nuclearity is established as well as the corresponding trace formulae. In the special case of compact Lie groups, kernel criteria in terms of (locally and globally) hypoelliptic operators are also given.