Tomasz Adamowicz

activity

20142024

most citedPrime ends in metric spaces and boundary extensions of mappings

2 citations · 2 across the 7 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.AP2024

Carleson measures on domains in Heisenberg groups

Tomasz Adamowicz, Marcin Gryszówka

We study the Carleson measures on NTA and ADP domains in the Heisenberg groups $H^{n}$ and provide two characterizations of such measures: (1) in terms of the level sets of…

math.AP2024

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 $R^{n}$ into the first Heisenberg group $H^{1}$ . These are the $C^{2}$ -regular mappings which are critical points…

math.AP2023

Isoperimetric inequalities and regularity of $A$ -harmonic functions on surfaces

Tomasz Adamowicz, Giona Veronelli

We investigate the logarithmic and power-type convexity of the length of the level curves for $a$ -harmonic functions on smooth surfaces and related isoperimetric inequalities. In p…

math.AP2014

The boundary Harnack inequality for variable exponent $p$ -Laplacian, Carleson estimates, barrier functions and $p (\cdot)$ -harmonic measures

Tomasz Adamowicz, Niklas Lundström

We investigate various boundary decay estimates for $p (\cdot)$ -harmonic functions. For domains in $R^{n}, n \geq 2$ satisfying the ball condition ( $C^{1, 1}$ -domains) we show…

Carleson measures on domains in Heisenberg groups

Harmonic Curves From Euclidean Domains to Heisenberg Group H1

Isoperimetric inequalities and regularity of A-harmonic functions on surfaces

The boundary Harnack inequality for variable exponent p-Laplacian, Carleson estimates, barrier functions and p(⋅)-harmonic measures

Isoperimetric inequalities and regularity of $A$ -harmonic functions on surfaces

The boundary Harnack inequality for variable exponent $p$ -Laplacian, Carleson estimates, barrier functions and $p (\cdot)$ -harmonic measures