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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
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…
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…