The 2-hyperreflexivity of Toeplitz-harmonic type subspace generated by an isometry or a quasinormal operator is shown. The k-hyperreflexivity of the tensor product $mathcal{S}{otimes}mathcal{V}$ of a k-hyperreflexive decom-posable subspace $mathcal{S}$ and an abelian von Neumann algebra $mathcal{V}$ is established.