Prime ends for domains in metric spaces

From MaRDI portal
Publication:387898

DOI10.1016/j.aim.2013.01.014zbMath1297.30056arXiv1204.6444OpenAlexW2064880110WikidataQ109994446 ScholiaQ109994446MaRDI QIDQ387898

Tomasz Adamowicz, Anders Björn, Nageswari Shanmugalingam, Jana Björn

Publication date: 17 December 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.6444



Related Items

The Mazurkiewicz distance and sets that are finitely connected at the boundary, Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings, Sphericalization and \(p\)-harmonic functions on unbounded domains in Ahlfors regular spaces, The local behaviour of open, light mappings satisfying generalized modular inequalities, Sharp capacity estimates for annuli in weighted \(\mathbf {R}^n\) and in metric spaces, Classification of metric measure spaces and their ends using p-harmonic functions, Boundary behaviour of open, light mappings in metric measure spaces, The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms, On the inverse Poletsky inequality in metric spaces and prime ends, The variational capacity with respect to nonopen sets in metric spaces, The Liouville theorem for \(p\)-harmonic functions and quasiminimizers with finite energy, On boundary extension of mappings in metric spaces in the terms of prime ends, Boundary behaviour of open discrete mappings on Riemannian manifolds. II, On boundary extension of one class of mappings in terms of prime ends, Geometry of prime end boundary and the Dirichlet problem for bounded domains in metric measure spaces, Carathéodory-type extension theorem with respect to prime end boundaries, Prime ends in metric spaces and quasiconformal-type mappings, The Dirichlet problem for \(p\)-harmonic functions on the topologist's comb, Prime ends and Orlicz–Sobolev classes, Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary, The prime end capacity of inaccessible prime ends, resolutivity, and the Kellogg property, Obstacle and Dirichlet problems on arbitrary nonopen sets in metric spaces, and fine topology, Prime ends in theory of mappings with finite distortion in the plane, The Dirichlet problem for \(p\)-harmonic functions with respect to the Mazurkiewicz boundary, and new capacities, On the boundary behavior of mappings with finite distortion in the plane



Cites Work