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20182026
most citedSome Remarks on the Dirichlet Problem on Infinite Trees

6 citations · 34 across the 26 of their papers we have counts for

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5 papers · 1 filter

math.FA2024

Simply interpolating and Carleson sequences for Hardy spaces in the polydisc

Nikolaos Chalmoukis, Alberto Dayan

We study the relation between simply and universally interpolating sequences for the holomorphic Hardy spaces on the polydisc. In dimension a sequence is…

math.FA2024

Potential theory and boundary behavior in the Drury-Arveson space

Nikolaos Chalmoukis, Michael Hartz

We develop a notion of capacity for the Drury-Arveson space of holomorphic functions on the Euclidean unit ball. We show that every function in has a non-tangential…

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…