摘要
引入一类齐型空间上的变指标Herz空间,并建立该空间的块分解.利用此分解得到一类次线性算子在上述变指标Herz空间中的一些有界性.
In this work, a certain Herz space with variable exponent on spaces of homogeneous type is defined, and the block decomposition for this space is established. Using this decomposition, some boundedness for a class of sublinear operators on Herz space with variable exponent on spaces of homogeneous type is obtained.
出处
《中国科学院大学学报（中英文）》
CSCD
北大核心
2017年第5期538-542,共5页
Journal of University of Chinese Academy of Sciences
基金
Supported by China Postdoctoral Science Foundation(2016M601105)
Shandong Provincial Natural Science Foundation(ZR2017MA041)
关键词
HERZ空间
变指标
齐型空间
块分解
有界性
Herz space
variable exponent
spaces of homogeneous type
block decomposition
boundedness
