Lerner's inequality associated to a critical radius function and applications

被引：21

作者：

Bongioanni, B. ^{[1
]}

Cabral, A. ^{[1
]}

Harboure, E. ^{[1
]}

机构：

[1] Inst Matemat Aplicada Litoral CONICET UNL, Santa Fe, NM USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 407卷 / 01期

关键词：

Lerner's inequality; Extrapolation; Schrodinger operator; Weights; WEIGHTED NORM INEQUALITIES; SCHRODINGER-OPERATORS; SPACES; EXTRAPOLATION; COMMUTATORS;

D O I：

10.1016/j.jmaa.2013.04.084

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work deals with weighted inequalities of the type integral(Rd) vertical bar Tf(x)vertical bar(p)w(x)dx <= c integral(Rd) vertical bar Sf(x)vertical bar(p)w(x)dx, where S is some maximal operator and T is an operator that comes from the harmonic analysis associated to a critical radius function. The weight w belongs to an appropriate family and 0 < p < infinity. The proofs are based on an adapted Lerner's inequality and some point-wise estimates. The results can be applied to obtain inequalities for several operators associated to the Schrodinger semigroup. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：35 / 55

页数：21

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