Andrzej Michalski

most citedLocally one-to-one harmonic functions with starlike analytic part

8 citations · 8 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2014

A generalization of the Clunie--Sheil-Small theorem

Małgorzata Michalska, Andrzej Michalski

In 1984, a simple and useful univalence criterion for harmonic functions was given by Clunie and Sheil-Small, which is usually called the shear construction. However, the applicati…

math.CV2014

Necessary condition for compactness of a difference of composition operators on the Dirichlet space

Małgorzata Michalska, Andrzej Michalski

Let $φ$ be a self-map of the unit disk and let $C_{φ}$ denote the composition operator acting on the standard Dirichlet space $D$ . A necessary condition for compactness of…

math.CV2014★ 8 cited

Locally one-to-one harmonic functions with starlike analytic part

Ikkei Hotta, Andrzej Michalski

Let $L_{H}$ denote the set of all normalized locally one-to-one and sense-preserving harmonic functions in the unit disc $Δ$ . It is well-known that every complex-valued harmonic func…