Mixed Inequalities for Operators Associated to Critical Radius Functions with Applications to Schrodinger Type Operators

被引：2

作者：

Berra, Fabio ^{[1
,2
]}

Pradolini, Gladis ^{[1
,2
]}

Quijano, Pablo ^{[3
]}

机构：

[1] Consejo Nacl Invest Cient & Tecn, Santa Fe, Argentina

[2] Dept Matemat FIQ UNL, Santa Fe, Argentina

[3] UNL, Inst Matemat Aplicada Litoral IMAL, CONICET, Colectora Ruta Nac 168, RA-3000 Santa Fe, Argentina

来源：

POTENTIAL ANALYSIS | 2024年 / 60卷 / 01期

关键词：

Schrodinger operators; Muckenhoupt weights; Critical radius functions; WEAK-TYPE INEQUALITIES; WEIGHTED INEQUALITIES; SINGULAR-INTEGRALS; SAWYER TYPE; NORM INEQUALITIES; MAXIMAL FUNCTION;

D O I：

10.1007/s11118-022-10049-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain weighted mixed inequalities for operators associated to a critical radius function. We consider Schrodinger Calderon-Zygmund operators of (s, delta) type, for 1 < s <= infinity and 0 < delta <= 1. We also give estimates of the same type for the associated maximal operators. As an application, we obtain a wide variety of mixed inequalities for Schrodinger type singular integrals. As far as we know, these results are a first approach of mixed inequalities in the Schrodinger setting.

引用

页码：253 / 283

页数：31

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