Regularity in a Singular Biharmonic Dirichlet Problem

We consider the singular biharmonic equation with Dirichlet boundary conditions u = f₀ and ∂_nu = f₁ on . In our setup the boundary values f_j (j = 0,1) are elements in two homogeneous Banach spaces B_j (j = 0,1) on . We give a sufficient condition on the spaces B_j (j = 0,1) to ensure that the solution u of this Dirichlet problem has the appropriate boundary values f_j (j = 0,1) in the sense of convergence in spaces B_j (j = 0,1). Our results also apply in the unweighted case.