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math.CV2024
On the boundedness of generalized integration operators on Hardy spaces
Nikolaos Chalmoukis, Georgios Nikolaidis
We study the boundedness and compactness properties of the generalized integration operator when it acts between distinct Hardy spaces in the unit disc of the complex pla…
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…