Singular Integrals with Variable Kernels in Dyadic Settings

被引：0
|
作者：
Hugo Aimar
Raquel Crescimbeni
Luis Nowak
机构：
[1] IMAL-CONICET and UNL,Departamento de Matemática
[2] FaEA,undefined
[3] UNCo. and IITCI-CONICET,undefined
来源：
Acta Mathematica Sinica, English Series | 2023年 / 39卷
关键词：
Singular integrals; spaces of homogeneous type; Petermichl’s operator; Haar basis; 42B20; 43A85; 42C40;
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学科分类号：
摘要：
In this paper we explore conditions on variable symbols with respect to Haar systems, defining Calderón–Zygmund type operators with respect to the dyadic metrics associated to the Haar bases. We show that Petermichl’s dyadic kernel can be seen as a variable kernel singular integral and we extend it to dyadic systems built on spaces of homogeneous type.
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页码：1565 / 1579
页数：14
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