Central oscillating multipliers on compact Lie groups

被引:0
作者
Jiecheng Chen
Dashan Fan
机构
[1] Zhejiang University,Department of Mathematics
[2] University of Wisconsin-Milwaukee,Department of Mathematics
来源
Mathematische Zeitschrift | 2011年 / 267卷
关键词
Oscillating multiplier; spaces; spaces; Compact Lie groups; Fourier series; 43A22; 43A32; 43B25; 42B25;
D O I
暂无
中图分类号
学科分类号
摘要
Fefferman and Stein and Wainger proved optimal Lp boundedness for certain oscillating multipliers on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}^{d}}$$\end{document}. In this article, we prove analogues of their results for a compact Lie group.
引用
收藏
页码:235 / 259
页数:24
相关论文
共 24 条
  • [1] Alexopoulos G.(1994)Oscillating multipliers on Lie groups and Riemannian manifolds Tohoku Math. J. 46 457-468
  • [2] Blank B.(1997) spaces on compact Lie groups Ann. Fac. Sci. Toulouse Math. 6 429-479
  • [3] Fan D.(1994)Approximation of Math. Z. 216 131-145
  • [4] Bloom W.R.(1987) functions by Bochner–Riesz means on compact Lie groups Lect. Notes Math. 1234 86-107
  • [5] Xu Z.(1989)Bochner–Riesz means of Acta Math. Sin. 32 345-357
  • [6] Clerc J.L.(1977) functions (0 <  Bull. Am. Math. Soc. 83 569-645
  • [7] Chen S.(1971) < 1) on compact Lie groups Ark Math. 9 23-37
  • [8] Wang J.(1982)Decomposition of Rend. Circ. Mat. Palerma XXXI 145-158
  • [9] Coifman R.(1994) functions on normal groups Math. Z. 216 401-415
  • [10] Weiss G.(1972)Extension of hardy spaces and their use in analysis Acta Math. 129 137-193