| Title:
|
Generalized Bochner-Riesz means on spaces generated by smooth blocks (English) |
| Author:
|
Wang, Jincai |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
44 |
| Issue:
|
3 |
| Year:
|
2003 |
| Pages:
|
489-505 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate generalized Bochner-Riesz means at the critical index on spaces generated by smooth blocks and give some approximation theorems. (English) |
| Keyword:
|
smooth blocks |
| Keyword:
|
generalized Bochner-Riesz means |
| MSC:
|
41A35 |
| MSC:
|
42B15 |
| MSC:
|
42B99 |
| idZBL:
|
Zbl 1127.41306 |
| idMR:
|
MR2025815 |
| . |
| Date available:
|
2009-01-08T19:30:38Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119403 |
| . |
| Reference:
|
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| Reference:
|
[2] Lu S.Z., Wang S.M.: Space generated by smooth blocks.Constructive Approximation 8 (1992), 331-341. MR 1164073 |
| Reference:
|
[3] Stein E.M.: Singular Integrals and Differentiability Properties of Functions.Princeton Univ. Press, Princeton, 1971. Zbl 0281.44003, MR 0290095 |
| Reference:
|
[4] Stein E.M.: An $H^1$ function with non-summable Fourier expansion.Lecture Notes in Math. 992, 1983, pp.193-200. MR 0729354 |
| Reference:
|
[5] Lu S.Z., Taibleson M.H., Weiss G.: On the almost everywhere convergence of Bochner-Riesz means of multiple Fourier series.Lecture Notes in Math. 908, 1982, pp.311-318. Zbl 0514.42009, MR 0654197 |
| Reference:
|
[6] Zheng X.: .Chinese Sci. Bull. (in Chinese) 29 21 (1984), 1342. Zbl 0612.55022 |
| Reference:
|
[7] Stein E.M., Weiss G.: Introduction to Fourier Analysis on Euclidean Spaces.Princeton University Press, Princeton, 1970. Zbl 0232.42007, MR 0304972 |
| Reference:
|
[8] Lu S.Z., Wang K.Y.: Bochner-Riesz Means.Publishing House of Beijing Normal University, 1988. Zbl 1127.41306 |
| Reference:
|
[9] Chen T.: Generalized Bochner-Riesz Means of Fourier Integrals.International Series of Numerical Mathematics, Vol. 90, Birkhäuser Verlag, Basel, 1989, pp. 87-94. Zbl 0682.42008, MR 1034298 |
| Reference:
|
[10] Lu S.Z., Taibleson M.H., Weiss G.: Spaces generated by blocks.Publishing House of Beijing Normal University, 1989. Zbl 0591.42004 |
| . |
