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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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9 papers · 1 filter

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

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…

math.CV2021★ 1 cited

A note on simply interpolating sequences for the Dirichlet space

Nikolaos Chalmoukis

We study simply interpolating sequences for the Dirichlet space in the unit disc. In particular we are interested in comparing three different sufficient conditions for simply inte…

math.CV2021★ 4 cited

Holomorphic semigroups and Sarason's characterization of vanishing mean oscillation

Nikolaos Chalmoukis, Vassilis Daskalogiannis

It is a classical theorem of Sarason that an analytic function of bounded mean oscillation (), is of vanishing mean oscillation if and only if its rotations converge in norm…

math.CV2019

Generalized Integration Operators on Hardy Spaces

Nikolaos Chalmoukis

We introduce a natural generalization of a well studied integration operator acting on the family of Hardy spaces in the unit disc. We study the boundedness and compactness propert…

math.CV2019

Random interpolating sequences in Dirichlet spaces

Nikolaos Chalmoukis, Andreas Hartmann, Karim Kellay +1

We discuss random interpolation in weighted Dirichlet spaces , . While conditions for deterministic interpolation in these spaces depend on capacities…

math.CV2018★ 6 cited

Onto Interpolation for the Dirichlet Space and for

Nikolaos Chalmoukis

We give a characterization of onto interpolating sequences with finite associated measure for the Dirichlet space in terms of condenser capacity. In the Sobolev space $H_1(\mathbb{…