带非双倍测度的BMO空间的一个注记

数学季刊 ›› 2004, Vol. 19 ›› Issue (4): 393-398.

带非双倍测度的BMO空间的一个注记

Department of Applied Mathematics, PL A University of Information Engineering, Zhengzhou 450002, China

收稿日期:2003-03-18 出版日期:2004-12-30 发布日期:2024-03-05
作者简介:CHU Ze-fu(1944-),male,native of Liaocheng,Shandong,a professor of PLA University of Infornation Engineering,M.S.D.,engages in function spaces and differential equation;LE Fu-long(1965-),male, native of Yongxiu,Jiangxi,an associate professor of PLA University of Information Engineering,engages in function spaces and differential equation.
基金资助:
SupportedbytheNSFofHenanProvince(0111050300)；

A Note on the BMO Space with Non-doubling Measure

Department of Applied Mathematics, PL A University of Information Engineering, Zhengzhou 450002, China

Received:2003-03-18 Online:2004-12-30 Published:2024-03-05
About author:CHU Ze-fu(1944-),male,native of Liaocheng,Shandong,a professor of PLA University of Infornation Engineering,M.S.D.,engages in function spaces and differential equation;LE Fu-long(1965-),male, native of Yongxiu,Jiangxi,an associate professor of PLA University of Information Engineering,engages in function spaces and differential equation.
Supported by:
SupportedbytheNSFofHenanProvince(0111050300)；

摘要/Abstract

摘要： Let μ be a positive Radon measure which only satisfies an appropriate growth condition, and RBMO(μ) be the BMO space associated with μ which was introduced by Tolsa. In this paper, it is proved that the definition of RBMO(ρ) can be weakened sufficiently.

关键词: RBMO(μ), non doubling measure, doubling cube

Abstract: Let μ be a positive Radon measure which only satisfies an appropriate growth condition, and RBMO(μ) be the BMO space associated with μ which was introduced by Tolsa. In this paper, it is proved that the definition of RBMO(ρ) can be weakened sufficiently.

Key words: RBMO(μ), non doubling measure, doubling cube

中图分类号:

O177

楚泽甫, 勒孚龙. 带非双倍测度的BMO空间的一个注记[J]. 数学季刊, 2004, 19(4): 393-398.

CHU Ze-fu, LE Fu-long. A Note on the BMO Space with Non-doubling Measure[J]. Chinese Quarterly Journal of Mathematics, 2004, 19(4): 393-398.

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