We study John, uniform and non-tangentially accessible domains in homogeneous groups of steps 2 and 3. We show that C1,1 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.
Regular domains in homogeneous groups
MONTI, ROBERTO;
2005
Abstract
We study John, uniform and non-tangentially accessible domains in homogeneous groups of steps 2 and 3. We show that C1,1 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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