Hannes Luiro

activity

20122019

most citedHarnack's inequality for p-harmonic functions via stochastic games

6 citations · 12 across the 7 of their papers we have counts for

collaborators

13 papers

math.AP2019

Gradient and Lipschitz estimates for tug-of-war type games

Amal Attouchi, Hannes Luiro, Mikko Parviainen

We define a random step size tug-of-war game, and show that the gradient of a value function exists almost everywhere. We also prove that the gradients of value functions are unifo…

math.AP2018

Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities

Ángel Arroyo, Hannes Luiro, Mikko Parviainen +1

We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in $Ω \subset R^{n}$ . The method of the proof is based on…

math.CA2017

The Variation of the Fractional Maximal Function of a Radial Function

Hannes Luiro, José Madrid

In this paper we study the regularity of the non-centered fractional maximal operator $M_{β}$ . As the main result, we prove that there exists $C (n, β)$ such that if $q = n / (n - β)$ and $f…

math.CA2017

The variation of the maximal function of a radial function

Hannes Luiro

We study the problem concerning the variation of the Hardy-Littlewood maximal function in higher dimensions. As the main result, we prove that the variation of the non-centered Har…

math.AP2016★ 2 cited

Gradient walk and $p$ -harmonic functions

Hannes Luiro, Mikko Parviainen

We consider a class of stochastic processes and establish its connection to $p$ -harmonic functions. In particular, we obtain stochastic approximations that converge uniformly to a…

math.AP2015

Regularity for nonlinear stochastic games