The Schatten Classes of Calderon-Zygmund Operators

被引：0
|
作者：
Villarroya, Paco [1 ,2 ]
机构：
[1] Calif Polytech State Univ San Luis Obispo, Math Dept, San Luis Obispo, CA 93407 USA
[2] Santa Clara Univ, Dept Appl Math, Santa Clara, CA 95053 USA
来源：
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2024年 / 30卷 / 01期
关键词：
Schatten-von Neumann classes; Calderon-Zygmund operator; Compact operator; VON-NEUMANN PROPERTIES; PSEUDODIFFERENTIAL-OPERATORS; EIGENVALUES; TRACES;
D O I：
10.1007/s00041-023-10059-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove sufficient conditions for a Calderon-Zygmund operator to belong to the Schatten classes. As in the classical T 1 theory, the conditions are given in terms of the smoothness of the operator kernel, and the action of both the operator and its adjoint on the function 1. To show membership to the Schatten class when p > 2 we develop new bump estimates for composed Calderon-Zygmund operators, and a new extension of Carleson's Embedding Theorem.
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页数：75
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