Singular Integrals with Variable Kernels in Dyadic Settings  

作　　者：Hugo AIMAR Raquel CRESCIMBENI Luis NOWAK 

机构地区：[1]IMAL-CONICET and UNL,Santa Fe,Argentina [2]Departamento de Matemática,FaEA,UNCo.and IITCI-CONICET,Neuquen,Argentina

出　　处：《Acta Mathematica Sinica,English Series》2023年第8期1565-1579,共15页数学学报（英文版）

基　　金：Supported by Consejo Nacional de Investigaciones Científicas y Técnicas,Universidad Nacional del Litoral and Universidad Nacional del Comahue,Argentina

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.

关 键 词：Singular integrals spaces of homogeneous type Petermichl’s operator Haar basis 

分 类 号：O177[理学—数学]