John and Uniform Domains in Generalized Siegel Boundaries
Tóm tắt
Given the pair of vector fields X = ∂x + |z|2my∂t and Y = ∂y −|z|2mx∂t,where (x,y,t) =
, we give a condition on a bounded domain
which ensures that Ω is an (ε,δ)-domain for the Carnot-Carathéodory metric. We also analyze the Ahlfors regularity of the natural surface measure induced on ∂Ω by the vector fields.
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