| 关于二重三角级数的加权LP可积性 |
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| 引用本文： | 梅颖,卢诚波. 关于二重三角级数的加权LP可积性[J]. 浙江大学学报(理学版), 2011, 38(6): 620-624 |
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| 作者姓名： | 梅颖 卢诚波 |
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| 作者单位： | 丽水学院数学系;上海大学数学系; |
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| 基金项目： | 浙江省自然科学基金资助项目(Y6110676) |
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| 摘 要： | 摘要：研究了二重正弦级数、二重余弦级数和二重混合级数可积的充要条件.将Boas和Leindler的有关结论由单变量的情形本质性地推广到双变量的情形.
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| 关 键 词： | font-family: 宋体,font-size: 10.5pt,mso-bidi-font-family: 宋体,mso-ansi-language: EN-US,mso-fareast-language: ZH-CN,mso-bidi-language: AR-SA" >关键词二重三角级数； 加权可积性； 充要条件, |
On Lp weighted integrability of double trigonometric |
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| MEI Ying,LU Cheng-bo. On Lp weighted integrability of double trigonometric[J]. Journal of Zhejiang University(Sciences Edition), 2011, 38(6): 620-624 |
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| Authors: | MEI Ying LU Cheng-bo |
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| Affiliation: | MEI Ying1,LU Cheng-bo1,2 (1.Department of Mathematics,Lishui University,Lishui 323000,Zhejiang Province,China,2.Department of Mathematics,Shanghai University,Shanghai 200444,China) |
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| Abstract: | The necessary and sufficient conditions for the integrability of double sine,double cosine and cosine-sine series were investigated.Our results essentially generalized those of Boas and Leindler from one variable case to two variables case. |
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| Keywords: | double trigonometric series weighted Lp integrability necessary and sufficient conditions |
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