43 citations · 71 across the 20 of their papers we have counts for
24 papers
Harmonic mappings on Grushin planes, part II
Tomasz Adamowicz, Krzysztof Chełmiński, Marcin Walicki
We study harmonic mappings between the source domain in the -Grushin plane and the target domain in the -Grushin plane for not necessarily equal to and .…
Harmonic Curves From Euclidean Domains to Heisenberg Group H1
Tomasz Adamowicz, Marco Capolli, Ben Warhurst
We define and study the harmonic curves on domains in into the first Heisenberg group . These are the -regular mappings which are critical points…
Isoperimetric inequalities and regularity of -harmonic functions on surfaces
Tomasz Adamowicz, Giona Veronelli
We investigate the logarithmic and power-type convexity of the length of the level curves for -harmonic functions on smooth surfaces and related isoperimetric inequalities. In p…
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…
Hardy spaces and quasiconformal maps in the Heisenberg group
Tomasz Adamowicz, Katrin Fässler
We define Hardy spaces , , for quasiconformal mappings on the Korányi unit ball in the first Heisenberg group . Our definition is stated in terms…
The Liouville theorem for discrete symmetric averaging operators
Tomasz Adamowicz, José G. Llorente
We introduce averaging operators on lattices and study the Liouville property for functions satisfying mean value properties associated to such operators. This frame…