2 citations · 5 across the 7 of their papers we have counts for
7 papers
Equivalence of sub-Laplacian on Polarized groups
Antoni Kijowski, Sebastiano Nicolussi Golo, Ben Warhurst
We characterize smooth maps between sub-Riemannian Lie groups that commute with sub-Laplacians. We show they are sub-Riemannian conformal submersions. Our work clarifies the analys…
A second-order operator for horizontal quasiconvexity in the Heisenberg group and application to convexity preserving for horizontal curvature flow
Antoni Kijowski, Qing Liu, Ye Zhang +1
This paper is concerned with a PDE approach to horizontally quasiconvex (h-quasiconvex) functions in the Heisenberg group based on a nonlinear second order elliptic operator. We di…
Asymptotically mean value harmonic functions in sub-Riemannian and RCD settings
Tomasz Adamowicz, Antoni Kijowski, Elefterios Soultanis
We consider weakly and strongly asymptotically mean value harmonic (amv-harmonic) functions on subriemannian and RCD settings. We demonstrate that, in non-collapsed RCD-spaces with…
Horizontally quasiconvex envelope in the Heisenberg group
Antoni Kijowski, Qing Liu, Xiaodan Zhou
This paper is concerned with a PDE-based approach to the horizontally quasiconvex (h-quasiconvex for short) envelope of a given continuous function in the Heisenberg group. We prov…
Asymptotically mean value harmonic functions in doubling metric measure spaces
Tomasz Adamowicz, Antoni Kijowski, Elefterios Soultanis
We consider functions with an asymptotic mean value property, known to characterize harmonicity in Riemannian manifolds, in doubling metric measure spaces. We show that the strongl…
Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
Tomasz Adamowicz, Antoni Kijowski, Andrea Pinamonti +1
Let . We provide an asymptotic characterization of continuous viscosity solutions of the normalized -Laplacian in any Carnot group…
Characterization of mean value harmonic functions on norm induced metric measure spaces with weighted Lebesgue measure
Antoni Kijowski
We study the mean-value harmonic functions on open subsets of equipped with weighted Lebesgue measures and norm induced metrics. Our main result is a necessary condi…