Regular domains in homogeneous groups

Monti, Roberto; Morbidelli, Daniele

doi:10.1090/S0002-9947-05-03799-2

Regular domains in homogeneous groups
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by Roberto Monti and Daniele Morbidelli

Trans. Amer. Math. Soc. 357 (2005), 2975-3011

DOI: https://doi.org/10.1090/S0002-9947-05-03799-2

Published electronically: March 25, 2005

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Abstract:

We study John, uniform and non-tangentially accessible domains in homogeneous groups of steps 2 and 3. We show that $C^{1,1}$ domains in groups of step 2 are non-tangentially accessible and we give an explicit condition which ensures the John property in groups of step 3.

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