Invariant subspaces on open Riemann surfaces
Invariant subspaces on open Riemann surfaces
Let R be a hyperbolic Riemann surface, d χ a harmonic measure supported on the Martin boundary of R, and H ∞ (dχ) the subalgebra of L ∞ (dχ) consisting of the boundary values of bounded analytic functions on R. This paper gives a complete classification of the closed H …