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math.GN2017★ 1 cited
Characterizations of generalized John domains in via metric duality
Pawel Goldstein, Zofia Grochulska, Chang-Yu Guo +2
In this paper, we extend the characterization of John disks obtained by Näkki and Väisälä [Exp. Math. 1991] to generalized John domains in higher dimensions under mild assumptions.…
math.CA2017
Accessible Parts of Boundary for Simply Connected Domains
Pekka Koskela, Debanjan Nandi, Artur Nicolau
For a bounded simply connected domain , any point and any , we give a lower bound for the -dimensional Hausdorff content of the set of point…