Harmonic functions, defined as twice continuously differentiable functions satisfying Laplace’s equation, have long been a subject of intense study in both pure and applied mathematics. Their ...

Quasiconformal harmonic mappings constitute a synergistic intersection between two major streams in mathematical analysis: quasiconformal mapping theory, which generalises conformal mappings by ...

We review some results and open problems for harmonic measure. Their common element is their simple geometric character. Such classical results are the projection estimates of Beurling, Nevanlinna and ...