6 citations · 6 across the 2 of their papers we have counts for
3 papers
math.CV2020★ 6 cited
Analytic capacity and holomorphic motions
Stamatis Pouliasis, Thomas Ransford, Malik Younsi
We study the behavior of the analytic capacity of a compact set under deformations obtained by families of conformal maps depending holomorphically on the complex parameter. We sho…
math.CV2018
Infinitesimally small spheres and conformally invariant metrics
Stamatis Pouliasis, Alexander Yu. Solynin
The modulus metric (also called the capacity metric) on a domain can be defined as $μ_D(x,y)=\inf\{\mbox{cap}\,(D,γ)\}$, where ${\mbox{cap}}\,(D,γ)$ stands…
math.CV2011
Invariance of Green equilibrium measure on the domain
Stamatis Pouliasis
We prove that the Green equilibrium measure and the Green equilibrium energy of a compact set K relative to the domains D and G are the same if and only if D is nearly equal to G,…