43 citations · 420 across the 43 of their papers we have counts for
4 papers · 1 filter
Doubling measures and Poincaré inequalities for sphericalizations of metric spaces, with applications to -harmonic functions in unbounded domains
Anders Björn, Jana Björn, Xining Li
The identification between the complex plane and the Riemann sphere preserves holomorphic and harmonic functions and is a classical tool. In this paper we consider a similar mappin…
Quasiopen and p-path open sets, and characterizations of quasicontinuity
Anders Björn, Jana Björn, Jan Malý
In this paper we give various characterizations of quasiopen sets and quasicontinuous functions on metric spaces. For complete metric spaces equipped with a doubling measure suppor…
An axiomatic approach to gradients with applications to Dirichlet and obstacle problems beyond function spaces
Joakim Arnlind, Anders Björn, Jana Björn
We develop a framework for studying variational problems in Banach spaces with respect to gradient relations, which encompasses many of the notions of generalized gradients that ap…
Geometric analysis on Cantor sets and trees
Anders Björn, Jana Björn, James T. Gill +1
Using uniformization, Cantor type sets can be regarded as boundaries of rooted trees. In this setting, we show that the trace of a first-order Sobolev space on the boundary of a re…