Two-weighted inequalities for maximal operators related to Schrodinger differential operator

被引：1

作者：

Amelia Vignatti, Maria ^{[1
]}

Salinas, Oscar ^{[1
]}

Hartzstein, Silvia ^{[2
]}

机构：

[1] Inst Matemat Aplicada Litoral, Santa Fe, Argentina

[2] Univ Nacl Litoral, Fac Ingn Quim, Santa Fe, Argentina

来源：

FORUM MATHEMATICUM | 2020年 / 32卷 / 06期

关键词：

Weights; fractional; boundedness; WEIGHTED NORM INEQUALITIES; COMMUTATORS; SPACES; POTENTIALS;

D O I：

10.1515/forum-2019-0243

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce classes of pairs of weights closely related to Schrodinger operators, which allow us to get two-weight boundedness results for the Schrodinger fractional integral and its commutators. The techniques applied in the proofs strongly rely on one hand, boundedness results in the setting of finite measure spaces of homogeneous type and, on the other hand, Fefferman-Stein-type inequalities that connect maximal operators naturally associated to Schrodinger operators.

引用

页码：1415 / 1439

页数：25

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