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Restriction inequalities for the hyperbolic hyperboloid
Journal de Mathématiques Pures et Appliquées ( IF 2.3 ) Pub Date : 2021-01-13 , DOI: 10.1016/j.matpur.2021.01.009 Benjamin Baker Bruce , Diogo Oliveira e Silva , Betsy Stovall
中文翻译:
双曲双曲面的限制不等式
更新日期:2021-01-13
Journal de Mathématiques Pures et Appliquées ( IF 2.3 ) Pub Date : 2021-01-13 , DOI: 10.1016/j.matpur.2021.01.009 Benjamin Baker Bruce , Diogo Oliveira e Silva , Betsy Stovall
In this article we establish new inequalities, both conditional and unconditional, for the restriction problem associated to the hyperbolic, or one-sheeted, hyperboloid in three dimensions, endowed with a Lorentz-invariant measure. These inequalities are unconditional (and optimal) in the bilinear range .
中文翻译:
双曲双曲面的限制不等式
在本文中,我们为与双曲线或单张双曲面在三个维度上具有洛仑兹不变测度的约束问题建立了新的不等式,包括条件性和无条件性。这些不等式在双线性范围内是无条件的(并且是最优的)。