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关于二重三角级数的加权L^P可积性

On Lp weighted integrability of double trigonometric
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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. 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.
作者 梅颖 卢诚波
出处 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2011年第6期620-624,707,共6页 Journal of Zhejiang University(Science Edition)
基金 浙江省自然科学基金资助项目(Y6110676)
关键词 二重三角级数 加权可积性 充要条件 double trigonometric series; weighted Lp integrability; necessary and sufficient conditions
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