  Let $k_0$ be a $p$-adic field of odd residual characteristic, and $G$ a
special orthogonal group defined as acting on a split $2n+1$-dimensional
orthogonal space $V$ over $k_0$.
  Let $H$ be the Iwahori Hecke algebra of $G$.
  A purpose of this short article is to compute the Iwahori component of a
Bessel model space and identify it with an explicit projective $H$-module.
