A restriction theorem for Grushin operators

作者:Liu, Heping; Song, Manli*
来源:Frontiers of Mathematics in China, 2016, 11(2): 365-375.
DOI:10.1007/s11464-016-0529-8

摘要

We study the Grushin operators acting on and defined by the formula . We establish a restriction theorem associated with the considered operators. Our result is an analogue of the restriction theorem on the Heisenberg group obtained by D. MAuller [Ann. of Math., 1990, 131: 567-587].

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