3 papers
math.AP2024
-Approximability and Quantitative Fatou Property on Lipschitz-graph domains for a class of non-harmonic functions
Tomasz Adamowicz, María J. González, Marcin Gryszówka
We study the class of functions on Lipschitz-graph domains satisfying a differential-oscillation condition and show that such functions are -approximable. As a consequence we ob…
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 and provide two characterizations of such measures: (1) in terms of the level sets of…
math.AP2023
-approximability and Quantitative Fatou Theorem on Riemannian Manifolds
Marcin Gryszówka
We prove the Quantitative Fatou Theorem for Lipschitz domains on complete Riemannian manifolds. This requires extending the -approximation lemma to the manifold settin…