The boundedness of operators in Muckenhoupt weighted Morrey spaces via extrapolation techniques and duality

被引：21

作者：

Rosenthal, Marcel ^{[1
]}

Schmeisser, Hans-Juergen ^{[2
]}

机构：

[1] Univ Pais Vasco Euskal Herriko Unibertsitatea, Dept Matemat Matemat Saila, Apdo 644, Bilbao 48080, Spain

[2] Univ Jena, Math Inst, Ernst Abbe Pl 2, D-07743 Jena, Germany

来源：

REVISTA MATEMATICA COMPLUTENSE | 2016年 / 29卷 / 03期

关键词：

Morrey spaces; Predual Morrey spaces; Extrapolation; Muckenhoupt weights; Singular integral operators; Calderon-Zygmund operators; Hormander-Mikhlin type multipliers; Marcinkiewicz multipliers; Maximal Carleson operator; Commutators; Associated Morrey spaces; SUBLINEAR-OPERATORS; INEQUALITIES; COMMUTATORS;

D O I：

10.1007/s13163-016-0208-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The bidual of the closure of smooth functions with respect to the Morrey norm coincides with the Morrey space. This assertion is generalized to some Muckenhoupt weighted Morrey spaces. We combine this fact with basic extrapolation techniques due to Rubio de Francia adapted to weighted Morrey spaces. This leads to new results on the boundedness of operators even for the unweighted case.

引用

页码：623 / 657

页数：35

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