Garnett proved that harmonic functions are epsilon-approximable in a half-plane by functions of bounded variations. However, just a couple of years later Dahlberg managed to extend that result to Lipschitz domains in Rⁿ (AIF 1980). He used similar methods, but also introduced a few new elements to the proof. I will present a sketch of his proof with a special emphasis on those parts that are novelties delivered to prove a more general version. The epsilon-approximability is one of the key steps in the Corona theorems.

Meeting ID: 874 8607 7059 Passcode: 335103