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齐型空间上的广义Morrey空间与广义Campanato空间
引用本文:包丽君,陶祥兴. 齐型空间上的广义Morrey空间与广义Campanato空间[J]. 宁波大学学报(理工版), 2005, 18(3): 288-291
作者姓名:包丽君  陶祥兴
作者单位:宁波大学,理学院,浙江,宁波,315211;宁波大学,理学院,浙江,宁波,315211
摘    要:将经典的Lebesgue微分理论推广到齐型空间上,在齐型空间上定义了广义Morrey空间与广义Campanato空间,并研究了齐型空间(X,d,μ)上的广义Morrey空间与可积空间等的关系以及广义Campanato空间与广义Morrey空间和Holder空间的关系.

关 键 词:广义Morrey空间  广义Campanato空间  齐型空间
文章编号:1001-5132(2005)03-0288-04
收稿时间:2005-03-25
修稿时间:2005-03-25

Generalized Morrey Space and Generalized Campanato Space on Space of Homogeneous Type
BAO Li-jun,TAO Xiang-xing. Generalized Morrey Space and Generalized Campanato Space on Space of Homogeneous Type[J]. Journal of Ningbo University(Natural Science and Engineering Edition), 2005, 18(3): 288-291
Authors:BAO Li-jun  TAO Xiang-xing
Affiliation:Faculty of Sciences, Ningbo University, Ningbo 315211, China
Abstract:The paper extends the classical Lebesgue differential theorem to the space of homogeneous type, then gives definition of Generalized Morrey space and Generalized Campanato space on the homogenous space. The studies are conducted on exploring the relationship between Generalized Morrey space, space, generalized Campanato space and Holder space.
Keywords:generalized Morrey space   generalized Campanato space   space of homogeneous type
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