  Let M be a compact manifold and P = P(h) a semiclassical pseudodifferential
operator on M . Suppose that u(h) is a L^2 normalised family of functions such
that P(h)u(h) is O(h) in L^2, as h goes to 0. Then, for any compact submanifold
Y contained in M, we obtain estimates on the L^p norm of u(h) restricted to Y,
with exponents that are sharp for h goes to 0. As part of the technical
development we prove some extensions of the abstract Strichartz estimates of
Keel and Tao.
