Behaviour at the boundary of the complex Monge-Ampère equation
Biholomorphic invariance of capacity and the capacity of an annulus
Boundary estimates for derivatives of harmonic functions
Bounded holomorphic functions with multiple sheeted pluripolar hulls
We describe compact subsets K of ∂𝔻 and ℝ admitting holomorphic functions f with the domains of existence equal to ℂ∖K and such that the pluripolar hulls of their graphs are infinitely sheeted. The paper is motivated by a recent paper of Poletsky and Wiegerinck.