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

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27978

Title:	Integrability, mean convergence, and Parseval's formula for double trigonometric series
Authors:	Chen,CP;Lin,CC
Contributors:	數學研究所
Keywords:	DOUBLE COSINE;SINE SERIES
Date:	1998
Issue Date:	2010-06-29 19:39:21 (UTC+8)
Publisher:	中央大學
Abstract:	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].
Relation:	TAIWANESE JOURNAL OF MATHEMATICS
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	399	View/Open

社群 sharing