On the Calderon-Zygmund structure of Petermichl's kernel

被引：5

作者：

Aimar, Hugo ^{[1
]}

Gomez, Ivana ^{[1
]}

机构：

[1] CCT CONICET Santa Fe, CONICET, UNL, Inst Matemat Aplicada Litoral,FIQ, Colectora Ruta Nac 168 Km 0,S3007ABA, Paraje El Pozo, Santa Fe, Argentina

来源：

COMPTES RENDUS MATHEMATIQUE | 2018年 / 356卷 / 05期

关键词：

HOMOGENEOUS TYPE; SPACES;

D O I：

10.1016/j.crma.2018.04.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that Petermichl's dyadic operator P (Petermichl (2000) [8]) is a Calderon-Zygmund-type operator on an adequate metric normal space of homogeneous type. We also compare the maximal operators associated with truncations of the kernel and to the summability of the Haar series. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：509 / 516

页数：8

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