Article

Mathematische Zeitschrift

, Volume 267, Issue 1, pp 235-259

First online:

Central oscillating multipliers on compact Lie groups

  • Jiecheng ChenAffiliated withDepartment of Mathematics, Zhejiang University
  • , Dashan FanAffiliated withDepartment of Mathematics, University of Wisconsin-Milwaukee Email author 

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Abstract

Fefferman and Stein and Wainger proved optimal L p boundedness for certain oscillating multipliers on \({\mathbb{R}^{d}}\). In this article, we prove analogues of their results for a compact Lie group.

Keywords

Oscillating multiplier L p spaces H p spaces Compact Lie groups Fourier series

Mathematics Subject Classification (2000)

43A22 43A32 43B25 42B25