We introduce a class of tri-linear operators that combine features of the bilinear Hilbert transform and paraproduct. For two instances of these operators, we prove boundedness property in alarge range D ={（p1,p2,p3...We introduce a class of tri-linear operators that combine features of the bilinear Hilbert transform and paraproduct. For two instances of these operators, we prove boundedness property in alarge range D ={（p1,p2,p3）ЕR3：1〈p1,p2〈∞,1/p1＋1/p2〈3/2,1〈p3〈∞}展开更多
文摘We introduce a class of tri-linear operators that combine features of the bilinear Hilbert transform and paraproduct. For two instances of these operators, we prove boundedness property in alarge range D ={（p1,p2,p3）ЕR3：1〈p1,p2〈∞,1/p1＋1/p2〈3/2,1〈p3〈∞}
