Tomasz Adamowicz

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math.AP2024

$I^µ$ -Approximability and Quantitative Fatou Property on Lipschitz-graph domains for a class of non-harmonic functions

Tomasz Adamowicz, MarÃa J. GonzÃ¡lez, Marcin GryszÃ³wka

We study the class of functions on Lipschitz-graph domains satisfying a differential-oscillation condition and show that such functions are $I^µ$ -approximable. As a consequence we o…

math.AP2024

Carleson measures on domains in Heisenberg groups

Tomasz Adamowicz, Marcin GryszÃ³wka

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…

I^µ-Approximability and Quantitative Fatou Property on Lipschitz-graph domains for a class of non-harmonic functions

Carleson measures on domains in Heisenberg groups

$I^µ$ -Approximability and Quantitative Fatou Property on Lipschitz-graph domains for a class of non-harmonic functions