In this paper we will consider the Nevanlinna-Pick problem for a class of subalgebras of H∞. Let us assume that we are given n points z1, . . . , zn ∈ D, n complex numbers w1, . . . , wn and a subalgebra A of H ∞. We will say that a function f ∈ A, interpolates the values z1, . . . , zn to w1, . . . , wn if and only if ‖f‖∞ ≤ 1 and f(zj) = wj . Such an f will be called an interpolating function...
