Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts

被引：0

作者：

Pereyra, MC ^{[1
]}

Ward, LA

机构：

[1] Univ New Mexico, Dept Math & Stat, Albuquerque, NM 87131 USA

[2] Harvey Mudd Coll, Dept Math, Claremont, CA 91711 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 01期

关键词：

Muckenhoupt weights; reverse Holder RHp; A(p); doubling weights; dyadic paraproducts; paraexponentials;

D O I：

10.1090/S0002-9939-98-04400-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the stability of Muckenhoupt's RHpd and A(p)(d) classes of weights under a nonlinear operation, the lambda-operation. We prove that the dyadic doubling reverse Holder classes RHpd are not preserved under the lambda operation, but the dyadic doubling A(p) classes A(p)(d) are preserved for 0 less than or equal to lambda less than or equal to 1. We give an application to the structure of resolvent sets of dyadic paraproduct operators.

引用

页码：135 / 144

页数：10

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