MEAN AND WEAK-CONVERGENCE OF FOURIER-BESSEL SERIES

被引：12
|
作者：
GUADALUPE, JJ [1 ]
PEREZ, M [1 ]
RUIZ, FJ [1 ]
VARONA, JL [1 ]
机构：
[1] UNIV LA RIOJA, DEPT MATEMAT APLICADA, E-26001 LOGRONO, SPAIN
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1993年 / 173卷 / 02期
关键词：
D O I：
10.1006/jmaa.1993.1073
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the uniform boundedness on some weighted Lp spaces of the partial sum operators associated to Fourier-Bessel series, obtaining necessary and sufficient conditions for this boundedness in terms of the weights. On the other hand, we study the weak and restricted weak type of the partial sum operators in the end points of the interval of strong boundedness. © 1993 Academic Press, Inc.
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页码：370 / 389
页数：20
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