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A restriction theorem for Grushin operators |
Heping LIU1,Manli SONG2,*( ) |
1. School of Mathematical Sciences, Peking University, Beijing 100871, China
2. School of Natural and Applied Sciences, Northwestern Polytechnical University, Xi’an 710129, China |
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Abstract We study the Grushin operators acting on ?xd1×?td2 and defined by the formula L=-∑j=1d1?xj2-∑j=1d1|xj|2∑k=1d2?tk2. 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. Müller [Ann. of Math., 1990, 131: 567–587].
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| Keywords
Grushin operator
scaled Hermite operator
restriction operator
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Corresponding Author(s):
Manli SONG
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Issue Date: 18 April 2016
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