Multilinear Airy estimates

The following multilinear estimates for the Airy equation are known:

• We have the quintilinear estimate on R: [[references.html#CoKeStTaTk-p2 CoKeStTkTa-p2]]

\int u^3 v^2 dx dt <~ || u ||_{1/4+,1/2+}^3 || v ||_{-3/4+,1/2+}^2

• The analogue for this on T is: [[references.html#CoKeStTaTk-p2 CoKeStTkTa-p2], [references.html#CoKeStTaTk-p3 CoKeStTkTa-p3]]

\int u^3 v^2 dx dt <~ || u ||_{1/2,1/2*}^3 || v ||_{-1/2,1/2*}^2

In fact, this estimate also holds for large period, but a loss of lambda^{0+}.