Fefferman-Stein, Wainger and Sjölin proved optimal boundedness for certain oscillating multipliers on . In this article, we prove an analogue of their result on a compact Lie group.
@article{AMBP_2012__19_1_123_0, author = {Chen, Jiecheng and Fan, Dashan}, title = {Optimal boundedness of central oscillating multipliers on compact Lie groups}, journal = {Annales math\'ematiques Blaise Pascal}, volume = {19}, year = {2012}, pages = {123-145}, doi = {10.5802/ambp.307}, zbl = {1255.43002}, mrnumber = {2978316}, language = {en}, url = {http://dml.mathdoc.fr/item/AMBP_2012__19_1_123_0} }
Chen, Jiecheng; Fan, Dashan. Optimal boundedness of central oscillating multipliers on compact Lie groups. Annales mathématiques Blaise Pascal, Tome 19 (2012) pp. 123-145. doi : 10.5802/ambp.307. http://gdmltest.u-ga.fr/item/AMBP_2012__19_1_123_0/
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