Singular Integrals with Variable Kernels in Dyadic Settings

被引：1

作者：

Aimar, Hugo ^{[1
,2
]}

Crescimbeni, Raquel ^{[3
,4
]}

Nowak, Luis ^{[3
,4
]}

机构：

[1] IMAL CONICET, Santa Fe, Argentina

[2] UNL, Santa Fe, Argentina

[3] UNCo, Dept Matemat, FaEA, Neuquen, Argentina

[4] IITCI CONICET, Neuquen, Argentina

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2023年 / 39卷 / 08期

关键词：

Singular integrals; spaces of homogeneous type; Petermichl's operator; Haar basis; HAAR BASES; SPACES; CALDERON;

D O I：

10.1007/s10114-023-1254-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we explore conditions on variable symbols with respect to Haar systems, defining Calderon-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.

引用

页码：1565 / 1579

页数：15

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