In [GHA-V] various boundary value problems in domains with compact boundary have been treated, in particular when the boundary data is taken from Generalized Banach Functions Spaces. With this in mind, our goal in this section is to study the Dirichlet, Regularity, and Neumann Problems for weakly elliptic systems in domains with compact boundaries with boundary data prescribed in k∗-homogeneous Herz spaces. To set the stage, we recall some definitions. Consider a closed Ahlfors regular set Σ ⊆ ℝn, and abbreviate σ := ℌn−1 ⌊Σ. Define the Sarason space VMO(Σ, σ) of functions of vanishing mean oscillations on Σ as