3 papers
math.CV2026
Discrete random Clark measures and associated inner functions
Carlo Bellavita, Nikolaos Chalmoukis, Giuseppe Lamberti
We study a class of random inner functions whose Clark measure at is the weighted sum of point masses supported on independent uniformly distributed points of .…
math.CV2024
Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space
Nikolaos Chalmoukis, Giuseppe Lamberti
We give a capacitary type characterization of Carleson measures for a class of Hardy-Sobolev spaces (also known as weighted Dirichlet spaces) on the Siegel upper half-space, introd…
math.CV2024
Random Carleson Sequences for the Hardy space on the Polydisc and the Unit Ball
Nikolaos Chalmoukis, Alberto Dayan, Giuseppe Lamberti
We study the Kolmogorov 0-1 law for a random sequence with prescribed radii so that it generates a Carleson measure almost surely, both for the Hardy space on the polydisc and the…