m-Subharmonic Functions and m-Pluripotential Theory
Research project
This academic project aims to investigate the properties of m-subharmonic functions.
Among other things, we will study the mappings for which the composition with an m-subharmonic function is also m-subharmonic. We will also develop the $m$ potential theory on compact sets and solve the Dirichlet problem for m-subharmonic and m-harmonic functions. To explore these questions, we will use complex analysis and potential theory.