2 papers
math.CA2026
Extremal functions and zero sets for the Dirichlet space
Alexander Borichev, Omar El-Fallah, Karim Kellay
We study the zeros of functions in the Dirichlet space. Using extremal functions, we produce a necessary and sufficient condition for a sequence of points in the unit disk to be a…
math.CA2026
The local Dirichlet integral and applications
Omar El-Fallah, Karim Kellay, Houssame Mahzouli
We study the local Dirichlet integral of distance functions and their behavior within the harmonic Dirichlet space. We provide estimates for the local Dirichlet integral of distanc…