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Regular domains in homogeneous groups
Authors:Roberto Monti  Daniele Morbidelli
Institution:Dipartimento di Matematica Pura ed Applicata, Università di Padova, via Belzoni 7, 35131 Padova, Italy ; Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato, 5, 40127 Bologna, Italy
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.

Keywords:John domains  non-tangentially accessible domains  homogeneous groups
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