Invariant subspaces in Bergman spaces and Hedenmalm's boundary value problem
Invariant subspaces in Bergman spaces and Hedenmalm's boundary value problem
A function G in a Bergman space Ap, 0< p<∞, in the unit disk D is called Ap-inner if |G|p−1 annihilates all bounded harmonic functions in D. Extending a recent result by Hedenmalm for p=2, we show (Thm. 2) that the unique compactly-supported solution Φ of the problem $\Delta \Phi …