Restriction of p-modular representations of U(2,1) to a Borel subgroup

Let G be the unramified unitary group U(2, 1)(E/F) over a non-archimedean local field F of odd residue characteristic p, and let B be the standard Borel subgroup of G. In this paper, we study the problem of the restriction of irreducible smooth (F) over bar (p)-representations of G to B, and we prove results which are analogous to that of Paskunas on GL(2)(F) [V. Paskunas, On the restriction of representations of GL(2)(F) to a Borel subgroup, Compos. Math. 143(6) (2007) 1533-1544, MR 2371380 (2009a:22013)].