Characterizations of a limiting class B∞ of Bekolle-Bonami weights

被引：15

作者：

Aleman, Alexandru ^{[1
]}

Pott, Sandra ^{[2
]}

Reguera, Maria Carmen ^{[1
,3
]}

机构：

[1] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden

[2] Lund Univ, Ctr Math Sci, S-2100 Lund, Sweden

[3] Univ Birmingham, Sch Math, Birmingham B15 2TT, W Midlands, England

来源：

REVISTA MATEMATICA IBEROAMERICANA | 2019年 / 35卷 / 06期

基金：

瑞典研究理事会;

关键词：

Bekolle weights; reverse Holder property; integral operator; INTEGRATION OPERATORS; NORM INEQUALITIES; SPECTRA;

D O I：

10.4171/RMI/1097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We explore properties of the class of Bekolle-Bonami weights B-infinity introduced by the authors in a previous work. Although Bekolle- Bonami weights are known to be ill-behaved because they do not satisfy a reverse Holder property, we prove that when restricting to a class of weights that are "nearly constant on top halves", one recovers some of the classical properties of Muckenhoupt weights. We also provide an application of this result to the study of the spectra of certain integral operators.

引用

页码：1677 / 1692

页数：16

共 17 条

[1] Sarason Conjecture on the Bergman Space [J].