STRONG SUMMABILITY OF BOCHNER-RIESZ SPHERICAL MEANS

被引：0

作者：

陆善镇

机构：

[1] Beijing Normal University

[2] Departmnent of Mathematics

来源：

Science China Mathematics | 1985年 / 01期

关键词：

STRONG SUMMABILITY OF BOCHNER-RIESZ SPHERICAL MEANS; 占一;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we investigate the strong summability of multiple Fourier series by the Bochner-Riesz spherical means at eritical index. We prove that the localization theorem of the strong summability holds for any positive degree, that is, if f（x）∈L（Q） and f（x）=0（|x-x|<δ）, then We also give eertain results on the strong summability which improves Boehnor-Chandraosekharan’s theorem.

引用

页码：1 / 13

页数：13

共 50 条

[1] STRONG SUMMABILITY OF BOCHNER-RIESZ SPHERICAL MEANS
LU, SZ
[J]. SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1985, 28 (01): : 1 - 13
[2] ON ALMOST EVERYWHERE SUMMABILITY OF CONJUGATE BOCHNER-RIESZ MEANS
Wu Zhaoji(Suzhou Vocational CollegeSuzhou 215011 PRCosky@163. net)
[J]. Analysis in Theory and Applications, 2000, (02) : 52 - 57
[3] STRONG UNIFORM APPROXIMATION BY BOCHNER-RIESZ MEANS
WANG, KY
[J]. MULTIVARIATE APPROXIMATION THEORY IV, 1989, 90 : 337 - 342
[4] APPROXIMATION BY BOCHNER-RIESZ MEANS AND SPHERICAL MODULUS OF CONTINUITY
BELINSKII, ES
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1975, (07): : 579 - 581
[5] SUMMABILITY OF DIFFERENTIATED MULTIPLE FOURIER-SERIES BY BOCHNER-RIESZ MEANS
DYACHKOV, AM
[J]. MATHEMATICAL NOTES, 1984, 36 (3-4) : 744 - 751
[6] On Fejer and Bochner-Riesz Means
Z. Ditzian
[J]. Journal of Fourier Analysis and Applications, 2005, 11 : 489 - 496
[7] Spectra of Bochner-Riesz Means on Lp
Chen, Yang
Fang, Qiquan
Sun, Qiyu
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2016, 37 (10) : 1203 - 1212
[8] ON APPROXIMATION BY SPHERICAL ZONAL TRANSLATION NETWORKS BASED ON BOCHNER-RIESZ MEANS
SHENG Baohuai Department of Mathematics Shaoxing College of Arts and Sciences Shaoxmg China LI Hongtao Department of Mathematics Baoji College of Arts and Sciences Baoji China
[J]. Journal of Systems Science and Complexity, 2005, (03) : 361 - 374
[9] A NOTE ON THE HYPERBOLIC BOCHNER-RIESZ MEANS
CARBERY, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1984, 92 (03) : 397 - 400
[10] On the Bochner-Riesz means of critical order
Liflyand, ER
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (05) : 1443 - 1450

← 1 2 3 4 5 →