Integrability, mean convergence, and Parseval's formula for double trigonometric series

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题名:	Integrability, mean convergence, and Parseval's formula for double trigonometric series
作者:	Chen,CP;Lin,CC
贡献者:	數學研究所
关键词:	DOUBLE COSINE;SINE SERIES
日期:	1998
上传时间:	2010-06-29 19:39:21 (UTC+8)
出版者:	中央大學
摘要:	Consider the double trigonometric series whose coefficients satisfy conditions of bounded variation of order (p, 0), (0, p), and (p, p) with the weight ((j) over bar (k) over bar)(p-1) for some p > 1. The following properties concerning the rectangular partial sums of this series are obtained: (a) regular convergence; (b) uniform convergence; (c) weighted L-r-integrability and weighted LT-convergence; and (d) Parseval's formula. Our results generalize Bary [1, p. 656], Boas [2, 3], Chen [6, 7], Kolmogorov [9], Marzug [10], Moricz [11, 12, 13, 14], Ul'janov [15], Young [16], and Zygmund [17, p. 4].
關聯:	TAIWANESE JOURNAL OF MATHEMATICS
显示于类别:	[數學研究所] 期刊論文

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