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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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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 , a square integrable function on such space and a (unilateral or bilateral) shift operator , we prove under suitable assumptions that the e…

math.CA2021★ 2 cited

Riesz capacities of a set due to Dobiński

Nicola Arcozzi, Nikolaos Chalmoukis

We study the Riesz -capacity of the so called Dobiński set. We characterize the values of the parameters and for which the -Riesz capacity of the Dobiński set…

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.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 spaces . Our main result is th…

math.CA2018★ 6 cited

Some Remarks on the Dirichlet Problem on Infinite Trees

Nikolaos Chalmoukis, Matteo Levi

We consider the Dirichlet problem on infinite and locally finite rooted trees, and we prove that the set of irregular points for continuous data has zero capacity. We also give som…