广义加权极大Morrey空间中次线性算子的有界性质

数学物理学报 ›› 2015, Vol. 35 ›› Issue (3): 503-514.

广义加权极大Morrey空间中次线性算子的有界性质

郑庆玉, 张蕾, 石少广

临沂大学理学院山东临沂 276005

收稿日期:2014-03-03 修回日期:2014-10-26 出版日期:2015-06-25 发布日期:2015-06-25
作者简介:郑庆玉, zlssg888@163.com;张蕾, zhangleis@lyu.edu.cn;石少广, shishaoguang@lyu.edu.cn
基金资助:
国家自然科学基金(11271175, 11301249)、山东省自然科学基金(ZR2012AQ026)和临沂大学应用数学提升计划资助

On Boundedness of Sublinear Operators on Generalized Weighted Grand Morrey Spaces

Zheng Qingyu, Zhang Lei, Shi Shaoguang

School of Science, Linyi University, Shandong Linyi 276005

Received:2014-03-03 Revised:2014-10-26 Online:2015-06-25 Published:2015-06-25

摘要/Abstract

摘要：

该文给出定义在Rⁿ上的一类广义加权极大 Morrey 空间. 证明一类次线性算子, 包括分数次积分算子, 在该类空间中的有界性质. 同时还研究该类次线性算子的交换子在广义加权极大 Morrey 空间中的有界性质.

关键词: 加权极大 Morrey 空间, 次线性算子, 交换子

Abstract:

A version of generalized weighted grand Morrey spaces defined on Rⁿ is adopted. Some results for the boundedness of some sublinear operators, including fractional integral operators, on certain spaces are given. Moreover, the corresponding results of the commutators are discussed.

Key words: Weighted grand Morrey space, Sublinear operator, Commutator

中图分类号:

O173.4

郑庆玉, 张蕾, 石少广. 广义加权极大Morrey空间中次线性算子的有界性质[J]. 数学物理学报, 2015, 35(3): 503-514.

Zheng Qingyu, Zhang Lei, Shi Shaoguang. On Boundedness of Sublinear Operators on Generalized Weighted Grand Morrey Spaces[J]. Acta mathematica scientia,Series A, 2015, 35(3): 503-514.

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