Nikolaos Chalmoukis

activity

20182026

most citedSome Remarks on the Dirichlet Problem on Infinite Trees

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

collaborators

26 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 $φ$ whose Clark measure at $1$ is the weighted sum of point masses supported on independent uniformly distributed points of $T$ .…

math.FA2026

Uncentred maximal operators with respect to half balls on Damek--Ricci spaces

Nikolaos Chalmoukis, Stefano Meda, Effie Papageorgiou +1

In this paper we study a variant of the uncentred Hardy--Littlewood maximal operator on Damek--Ricci spaces in which balls are replaced by suitable half balls. Perhaps surprisingly…

math.FA2026

Maximal subspaces of strong continuity for composition semigroups

Nikolaos Chalmoukis, Álvaro Miguel Moreno

Let $(φ_{t})_{t \geq 0}$ a semigroup of holomorphic self-maps of the unit disk and $C_{t} f = f \circ φ_{t}$ the semigroup of composition operators which corresponds to $φ_{t} .$ Given a…

math.FA2026

Generalized Foguel-Hankel Operators

Nikolaos Chalmoukis, Giovanni Marano

In this paper we introduce a more general class of Foguel-Hankel operators, where the unilateral shift on $ℓ^{2} (N)$ is replaced by a general multiplication operator on…

math.FA2025

Operators with small Kreiss constants

Nikolaos Chalmoukis, Georgios Tsikalas, Dmitry Yakubovich

We investigate matrices satisfying the Kreiss condition $∥ (z I - T)^{- 1} ∥ \leq \frac{K}{∣ z ∣ - 1}, ∣ z ∣ > 1,$ with $K$ lying arbitrarily close to $1.$ We provide lower bo…

math.FA2025

Quaternionic Carleson measures

Nikolaos Chalmoukis, Giulia Sarfatti

In this paper we provide a general construction of a quaternionic Banach space of slice regular functions from a given Banach space of holomorphic functions, which we call its quat…

math.FA2025

Spider's webs and sharp $L^{p}$ bounds for the Hardy--Littlewood maximal operator on Gromov hyperbolic spaces

Nikolaos Chalmoukis, Stefano Meda, Federico Santagati

In this paper we prove that if $1 < a \leq b < a^{2}$ and $X$ is a locally doubling $δ$ -hyperbolic complete connected length metric measure space with $(a, b)$ -pinched exponential growth a…

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 $H^{p} (D^{d})$ on the polydisc. In dimension $d = 1$ 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 $H_{d}^{2}$ of holomorphic functions on the Euclidean unit ball. We show that every function in $H_{d}^{2}$ 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 $T_{g, a}$ 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.CA2023★ 1 cited

On the speed of convergence in the ergodic theorem for shift operators

Nikolaos Chalmoukis, Leonardo Colzani, Bianca Gariboldi +1

Given a probability space $(X, μ)$ , a square integrable function $f$ on such space and a (unilateral or bilateral) shift operator $T$ , we prove under suitable assumptions that the e…

math.FA2023★ 4 cited

Generalized Hilbert operators arising from Hausdorff matrices

Carlo Bellavita, Nikolaos Chalmoukis, Vassilis Daskalogiannis +1

For a finite, positive, Borel measure $μ$ on $(0, 1)$ we consider an infinite matrix $Γ_{μ}$ , related to the classical Hausdorff matrix defined by the same measure $μ$ , in the same al…

math.FA2023

Simply interpolating sequences in complete Pick spaces

Nikolaos Chalmoukis, Alberto Dayan, Michael Hartz

We characterize simply interpolating sequences (also known as onto interpolating sequences) for complete Pick spaces. We show that a sequence is simply interpolating if and only if…

math.CA2021★ 2 cited

Riesz capacities of a set due to Dobiński

Nicola Arcozzi, Nikolaos Chalmoukis

We study the Riesz $(a, p)$ -capacity of the so called Dobiński set. We characterize the values of the parameters $a$ and $p$ for which the $(a, p)$ -Riesz capacity of the Dobiński set…

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.CA2021★ 3 cited

Two-weight dyadic Hardy's inequalities

Nicola Arcozzi, Nikolaos Chalmoukis, Matteo Levi +1

We present various results concerning the two-weight Hardy's inequality on infinite trees. Our main scope is to survey known characterizations (and proofs) for trace measures, as w…

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 ( $B M O A$ ), is of vanishing mean oscillation if and only if its rotations converge in norm…

math.FA2021★ 2 cited

The Drury--Arveson space on the Siegel upper half-space and a von Neumann type inequality

Nicola Arcozzi, Nikolaos Chalmoukis, Alessandro Monguzzi +2

In this work we study what we call Siegel--dissipative vector of commuting operators $(A_{1}, \dots, A_{d + 1})$ on a Hilbert space $H$ and we obtain a von Neumann type inequa…

math.FA2020★ 5 cited

Totally null sets and capacity in Dirichlet type spaces

Nikolaos Chalmoukis, Michael Hartz

In the context of Dirichlet type spaces on the unit ball of $C^{d}$ , also known as Hardy-Sobolev or Besov-Sobolev spaces, we compare two notions of smallness for compact sub…

math.CA2020

Quasi-nilpotency of generalized Volterra operators on sequence spaces

Nikolaos Chalmoukis, Georgios Stylogiannis

We study the quasi-nilpotency of generalized Volterra operators on spaces of power series with Taylor coefficients in weighted $ℓ^{p}$ spaces $1 < p < + \infty$ . Our main result is th…

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 $D_{α}$ , $0 \leq α \leq 1$ . While conditions for deterministic interpolation in these spaces depend on capacities…

Discrete random Clark measures and associated inner functions

Uncentred maximal operators with respect to half balls on Damek--Ricci spaces

Maximal subspaces of strong continuity for composition semigroups

Generalized Foguel-Hankel Operators

Operators with small Kreiss constants

Quaternionic Carleson measures

Spider's webs and sharp Lp bounds for the Hardy--Littlewood maximal operator on Gromov hyperbolic spaces

Simply interpolating and Carleson sequences for Hardy spaces in the polydisc

Potential theory and boundary behavior in the Drury-Arveson space

On the boundedness of generalized integration operators on Hardy spaces

Carleson measures for Hardy-Sobolev spaces in the Siegel upper half-space

Random Carleson Sequences for the Hardy space on the Polydisc and the Unit Ball

On the speed of convergence in the ergodic theorem for shift operators

Generalized Hilbert operators arising from Hausdorff matrices

Simply interpolating sequences in complete Pick spaces

Riesz capacities of a set due to Dobiński

A note on simply interpolating sequences for the Dirichlet space

Two-weight dyadic Hardy's inequalities

Holomorphic semigroups and Sarason's characterization of vanishing mean oscillation

The Drury--Arveson space on the Siegel upper half-space and a von Neumann type inequality

Totally null sets and capacity in Dirichlet type spaces

Quasi-nilpotency of generalized Volterra operators on sequence spaces

Generalized Integration Operators on Hardy Spaces

Random interpolating sequences in Dirichlet spaces

Spider's webs and sharp $L^{p}$ bounds for the Hardy--Littlewood maximal operator on Gromov hyperbolic spaces