Geodesic
Optimal boundedness of central oscillating multipliers on compact Lie groups
Chen, Jiecheng1 ; Fan, Dashan2
1Department of Mathematics Zhejiang Normal University Jinhua, Zhejiang 321004 China
2Department of Mathematics University of Wisconsin-Milwaukee Milwaukee, WI 53217 USA
Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 123-145
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Fefferman-Stein, Wainger and Sjölin proved optimal H p boundedness for certain oscillating multipliers on R d . In this article, we prove an analogue of their result on a compact Lie group.

DOI : 10.5802/ambp.307
Classification : 43A22, 43A32, 43B25, 42B25
Keywords: Oscillating multiplier, $ H^{p}$ spaces, Compact Lie groups, Fourier series.

Chen, Jiecheng  1   ; Fan, Dashan  2

1 Department of Mathematics Zhejiang Normal University Jinhua, Zhejiang 321004 China
2 Department of Mathematics University of Wisconsin-Milwaukee Milwaukee, WI 53217 USA 
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Chen, Jiecheng; Fan, Dashan. Optimal boundedness of central oscillating multipliers on compact Lie groups. Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 123-145. doi: 10.5802/ambp.307

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