Michael Papadimitrakis

Extensions of a theorem of Marcinkiewicz-Zygmund and of Rogosinski’s formula and an application to Universal Taylor series

This paper extends Rogosinskis formula and the MarcinkiewiczZygmund Theorem about circular structure of the limit points of the partial sums of (C,1l) summable Taylor series. Also a result about summability of HP Taylor series is proved and an application on Universal Taylor series is given.

On convexity of level curves of harmonic functions in the hyperbolic plane

We prove that if two level curves of a harmonic function are convex in the hyperbolic disc then all intermediate level curves are also convex.

One-Sided Extendability and p-Continuous Analytic Capacities

Using complex methods combined with Baire’s Theorem, we show that one-sided extendability, extendability, and real analyticity are rare phenomena on various spaces of functions in the topological sense. These considerations led us to introduce the p-continuous analytic capacity and variants of it,

WEAK) COMPACTNESS OF HANKEL OPERATORS ON BMOA

p\in \{0,1,2, \ldots \}\cup \{\infty \}

Isotropic surface area measures

p∈{0,1,2,…}∪{∞}, for compact or closed sets in

Continuity of the Operator of Best Uniform Approximation by Bounded Analytic Functions

\mathbb {C}