Annales Mathématiques
Blaise Pascal
no. 1
Optimal boundedness of central oscillating multipliers on compact Lie groups
Jiecheng Chen1 ; Dashan Fan2
1 Department of Mathematics Zhejiang Normal University Jinhua, Zhejiang 321004 China
2 Department of Mathematics University of Wisconsin-Milwaukee Milwaukee, WI 53217 USA
Annales mathématiques Blaise Pascal, Tome 19 (2012) no. 1, pp. 123-145.

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
Mots clés : Oscillating multiplier, $ H^{p}$ spaces, Compact Lie groups, Fourier series.

Jiecheng Chen 1 ; Dashan Fan 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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Jiecheng Chen; Dashan Fan. 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. https://ambp.centre-mersenne.org/articles/10.5802/ambp.307/

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