16 citations · 96 across the 45 of their papers we have counts for
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math.CV2015
Cyclic polynomials in anisotropic Dirichlet~spaces
Greg Knese, Lukasz Kosinski, Thomas J. Ransford +1
Consider the Dirichlet-type space on the bidisk consisting of holomorphic functions such that $\sum_{k,l\geq 0}(k+1)^{α_1} (l+1)^{α_2…
math.CV2015
Dirichlet spaces with superharmonic weights and de Branges-Rovnyak spaces
Omar El-Fallah, Karim Kellay, Hubert Klaja +2
We consider Dirichlet spaces with superharmonic weights. This class contains both the harmonic weights and the power weights. Our main result is a characterization of the Dirichlet…
math.CV2015
On the harmonic measure and capacity of rational lemniscates
Stamatis Pouliasis, Thomas Ransford
We study the lemniscates of rational maps. We prove a reflection principle for the harmonic measure of rational lemniscates and we give estimates for their capacity and the capacit…