Optimal boundedness of central oscillating multipliers on compact Lie groups

Chen, Jiecheng; Fan, Dashan

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 ${\mathbf{R}}^d$. In this article, we prove an analogue of their result on a compact Lie group.

Classification : 43A22, 43A32, 43B25, 42B25
Mots clés : Oscillating multiplier, $ H^{p}$ spaces, Compact Lie groups, Fourier series.

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