Generalized Bochner-Riesz means on spaces generated by smooth blocks

Jin Cai Wang

Commentationes Mathematicae Universitatis Carolinae (2003)

  • Volume: 44, Issue: 3, page 489-505
  • ISSN: 0010-2628

Abstract

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We investigate generalized Bochner-Riesz means at the critical index on spaces generated by smooth blocks and give some approximation theorems.

How to cite

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Wang, Jin Cai. "Generalized Bochner-Riesz means on spaces generated by smooth blocks." Commentationes Mathematicae Universitatis Carolinae 44.3 (2003): 489-505. <http://eudml.org/doc/249194>.

@article{Wang2003,
abstract = {We investigate generalized Bochner-Riesz means at the critical index on spaces generated by smooth blocks and give some approximation theorems.},
author = {Wang, Jin Cai},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {smooth blocks; generalized Bochner-Riesz means; Bochner-Riesz means; Bochner-Riesz multipliers; smooth blocks},
language = {eng},
number = {3},
pages = {489-505},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Generalized Bochner-Riesz means on spaces generated by smooth blocks},
url = {http://eudml.org/doc/249194},
volume = {44},
year = {2003},
}

TY - JOUR
AU - Wang, Jin Cai
TI - Generalized Bochner-Riesz means on spaces generated by smooth blocks
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2003
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 44
IS - 3
SP - 489
EP - 505
AB - We investigate generalized Bochner-Riesz means at the critical index on spaces generated by smooth blocks and give some approximation theorems.
LA - eng
KW - smooth blocks; generalized Bochner-Riesz means; Bochner-Riesz means; Bochner-Riesz multipliers; smooth blocks
UR - http://eudml.org/doc/249194
ER -

References

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  1. Stein E.M., On limits of sequences of operators, Ann. of Math. 74 (1961), 140-170. (1961) Zbl0103.08903MR0125392
  2. Lu S.Z., Wang S.M., Space generated by smooth blocks, Constructive Approximation 8 (1992), 331-341. (1992) MR1164073
  3. Stein E.M., Singular Integrals and Differentiability Properties of Functions, Princeton Univ. Press, Princeton, 1971. Zbl0281.44003MR0290095
  4. Stein E.M., An H 1 function with non-summable Fourier expansion, Lecture Notes in Math. 992, 1983, pp.193-200. MR0729354
  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. Zbl0514.42009MR0654197
  6. Zheng X., [unknown], Chinese Sci. Bull. (in Chinese) 29 21 (1984), 1342. (1984) Zbl0612.55022
  7. Stein E.M., Weiss G., Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, 1970. Zbl0232.42007MR0304972
  8. Lu S.Z., Wang K.Y., Bochner-Riesz Means, Publishing House of Beijing Normal University, 1988. Zbl1127.41306
  9. Chen T., Generalized Bochner-Riesz Means of Fourier Integrals, International Series of Numerical Mathematics, Vol. 90, Birkhäuser Verlag, Basel, 1989, pp. 87-94. Zbl0682.42008MR1034298
  10. Lu S.Z., Taibleson M.H., Weiss G., Spaces generated by blocks, Publishing House of Beijing Normal University, 1989. Zbl0591.42004

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