多元Sobolev关于L_(qp)(R^d)下的平均线性宽度

The Average Linear Width of Sobolev Classes in L_(qp) (R^d)

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摘要得到了两种多元 Sobloev类于 Lqp( Rd )下平均线性宽度的弱渐进估计 . This paper concerns the problem of average linear width of Sobolev classes in L qp (R d) . The weak asymptotic behavior is established for the corresponding quantities.

作者连莉霞

机构地区河北城乡建设学校

出处《工科数学》 2001年第2期11-13,共3页 Journal of Mathematics For Technology

关键词各向同性Sobolev类各向异性Sobolev类平均线性宽度多元Sobolev 赋范线性空间特征函数 isotropic sobolev class anisotropic sobolev class average linear width

分类号 O174.41 [理学—基础数学]

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参考文献5

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共引文献6

1杨柱元,杨宗文,刘永平.各向异性Sobolev及Besov类的平均单边宽度[J].数学学报（中文版）,2007,50(5):1177-1184.
2杨柱元,杨宗文,刘永平.AVERAGE ONESIDED WIDTHS OF SOBOLEV AND BESOV CLASSES[J].Acta Mathematica Scientia,2010,30(1):148-160.
3汪和平.具有混合光滑性的Hlder-Nikolskii-Wiener类在L_q(R^d)中的平均宽度(英文)[J].数学进展,2002,31(3):249-256.
4He Ping WANG Department of Mathematics, Capital Normal University. Beijing, 100037, P. R. China.Average Widths of Sobolev-Wiener Classes with Mixed Smoothness in L_q(R^d)[J].Acta Mathematica Sinica,English Series,2001,17(2):305-312.
5汪和平.具有混合光滑性的Sobolev-Wiener类在L_q(R^d)中的平均宽度[J].数学学报（中文版）,2003,46(2):341-346.
6GuiQiaoXU YongPingLIU.The Average Widths of Sobolev-Wiener Classes and Besov-Wiener Classes[J].Acta Mathematica Sinica,English Series,2004,20(1):81-92.

1高红亚,赵洪亮.保向形式Jacobi行列式的可积性[J].中国科学（A辑）,2005,35(9):1060-1070. 被引量：2
2钱李新.C^r([0,1])赋以满足S-Y条件Gauss测度的平均线性宽度[J].浙江师范大学学报（自然科学版）,2009,32(1):24-27.
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工科数学

2001年第2期

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多元Sobolev关于L_(qp)(R^d)下的平均线性宽度

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