Jan Wiegerinck

Sharp hölder estimates for\(\overline \partial \) on ellipsoids

AbstractWe solve the

Solving the Gleason problem on linearly convex domains

\overline \partial

A characterization of strongly exposed points of the unit ball of H1

-equation on real and on complex ellipsoids in ℂN. It is proved that the solution satisfies sharp Hölder estimates. That is, the Hölder exponent equals the reciprocal of the maximal order of contact of the boundary of the ellipsoid with complex-analytic curves.

Extremal properties of the unit ball in H1

In this paper we show that the pluripolar hull ofE={(z, ω)∈C2:ω=e−1/z,z≠0} is equal toE. This implies thatE is plurithin at 0, which answers a question of Sadullaev. The result remains valid ife−1/z is replaced by certain other holomorphic functions with an essential singularity at 0.

Notes and problems: A general bound for the limiting distribution of Breitung's statistic

Abstract. Let

Characterizations of boundary pluripolar hulls

\Omega

Domains of Existence for Finely Holomorphic Functions

be a bounded, connected linearly convex set in

More approximation on disks

{\mathbf{C}} ^n