Articles with "group boundary" as a keyword



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Prime ends in the Heisenberg group H_1 and the boundary behavior of quasiconformal mappings

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Published in 2018 at "Annales Academiae Scientiarum Fennicae Mathematica"

DOI: 10.5186/aasfm.2018.4342

Abstract: We investigate prime ends in the Heisenberg group $\mathbb{H}_{1}$ extending N\"akki's construction for collared domains in Euclidean spaces. The corresponding class of domains is defined via uniform domains and the Loewner property. Using prime ends… read more here.

Keywords: prime ends; heisenberg group; group boundary; quasiconformal mappings ... See more keywords