| 赋广义Orlicz范数的Orlicz空间中kx的两个特征 |
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| 引用本文： | 许晶,崔云安,庄彩彩.赋广义Orlicz范数的Orlicz空间中kx的两个特征[J].通化师范学院学报,2010,31(12):14-15,46. |
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| 作者姓名： | 许晶 崔云安 庄彩彩 |
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| 作者单位： | [1]通化师范学院数学系,吉林通化134002 [2]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080 |
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| 基金项目： | 吉林省教育厅科研基金项目 |
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| 摘 要： | 由N-函数生成的赋广义Orlicz范数的Orlicz函数空间中每一点x都对应唯一kx：｜｜x｜｜（M,p）=1/（kx）1＋ρM~p（kxx）]1/p.文中给出了inf{kx：｜｜x｜｜（M,p）=1}〉1和{kx：a≤｜｜x｜｜（M,p）≤b}（b≥a〉0）有界的充要条件.
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| 关 键 词： | 广义Orlicz范数 Orlicz函数空间 kx |
Two Characteristics of kx in Orlicz Spaces Equipped with Generalized Orlicz Norm |
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| XU Jing,CUI Yun-an,ZHUANG Cai-cai.Two Characteristics of kx in Orlicz Spaces Equipped with Generalized Orlicz Norm[J].Journal of Tonghua Teachers College,2010,31(12):14-15,46. |
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| Authors: | XU Jing CUI Yun-an ZHUANG Cai-cai |
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| Institution: | 1.Department of Mathematics,Tonghua Normal University,Tonghua,Jilin 134002,China; 2.College of Applied Sciences,Harbin University of Science,Harbin,Heilongjiang 150080,China) |
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| Abstract: | On the Orlicz function spaces generated by N - a function and equipped with the generalized Orlicz norm, there exists kx such that ｜｜ x ｜｜（M,p）=1/Kx1 ＋ρM~P（Kxx）]（1/p） for every x∈L（M,p）.Both sufficient and necessary conditions were presented to make the bounded of inf {kx：｜｜ x ｜｜（M,p）= 1}1 and {kx：a≤｜｜ x｜｜（M,p）≤b}（ba0）. |
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| Keywords: | generalized Orlicz norm Orlicz function space kx |
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