Pluriharmonic interpolation and hulls of C1 curves in the unit sphere.
Polynomial hulls and positive currents
Polynomial hulls in and quasicircles
Polynomially convex hulls of families of arcs
The paper is devoted to the study of polynomially convex hulls of compact subsets of ℂ², fibered over the boundary of the unit disc, such that all fibers are simple arcs in the plane and their endpoints form boundaries of two closed, not intersecting analytic discs. The principal question concerned is under what additional condition such a hull is a bordered topological hypersurface and, in particular, is foliated by a unique holomorphic motion. One of the main results asserts that this happens...
Polynomially Convex Hulls with Piecewise Smooth Boundaries.
Pseudoconvexity of rigid domains and foliations of hulls of graphs