Add to ORKGIt is now a well-known fact that for 1 < p < ∞ the p-harmonic functions on domains in metric measure spaces equipped with a doubling measure supporting a (1, p)-Poincare ́ inequality are locally Hölder continuous. In this note we provide a characterization of domains in such metric spaces for which p-harmonic extensions of Hölder continuous boundary data are globally Hölder continuous. We also provide a link between this regularity property of the domain and the uniform p-fatness of the complement of the domain
The uniformization and hyperbolization transformations formulated by Bonk et al. in"Uniformizing Gro...
AbstractWe use the heat equation to establish the Lipschitz continuity of Cheeger-harmonic functions...
We study the asymptotic behaviour of a p-harmonic measure w(p), p is an element of (1, infinity], in...
AbstractIt is now a well-known fact that for 1<p<∞ the p-harmonic functions on domains in metric mea...
AbstractIt is now a well-known fact that for 1<p<∞ the p-harmonic functions on domains in metric mea...
AbstractIn the setting of metric measure spaces equipped with a doubling measure supporting a weak p...
This paper is dedicated to the memory of Professor Juha Heinonen Abstract. We describe the behavior ...
The trichotomy between regular, semiregular, and strongly irregular boundary points for p-harmonic f...
The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in com...
The trichotomy between regular, semiregular, and strongly irregular boundary points for p-harmonic f...
The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in com...
Abstract. Using the theory of Sobolev spaces on a metric measure space we are able to apply calculus...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...
Let p be a real number greater than one and let X be a locally compact, noncompact metric measure sp...
AbstractIn the setting of metric measure spaces equipped with a doubling measure supporting a weak p...
The uniformization and hyperbolization transformations formulated by Bonk et al. in"Uniformizing Gro...
AbstractWe use the heat equation to establish the Lipschitz continuity of Cheeger-harmonic functions...
We study the asymptotic behaviour of a p-harmonic measure w(p), p is an element of (1, infinity], in...
AbstractIt is now a well-known fact that for 1<p<∞ the p-harmonic functions on domains in metric mea...
AbstractIt is now a well-known fact that for 1<p<∞ the p-harmonic functions on domains in metric mea...
AbstractIn the setting of metric measure spaces equipped with a doubling measure supporting a weak p...
This paper is dedicated to the memory of Professor Juha Heinonen Abstract. We describe the behavior ...
The trichotomy between regular, semiregular, and strongly irregular boundary points for p-harmonic f...
The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in com...
The trichotomy between regular, semiregular, and strongly irregular boundary points for p-harmonic f...
The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in com...
Abstract. Using the theory of Sobolev spaces on a metric measure space we are able to apply calculus...
In the study of the local Fatou theorem for harmonic functions, Carleson [Ca] proved the following c...
Let p be a real number greater than one and let X be a locally compact, noncompact metric measure sp...
AbstractIn the setting of metric measure spaces equipped with a doubling measure supporting a weak p...
The uniformization and hyperbolization transformations formulated by Bonk et al. in"Uniformizing Gro...
AbstractWe use the heat equation to establish the Lipschitz continuity of Cheeger-harmonic functions...
We study the asymptotic behaviour of a p-harmonic measure w(p), p is an element of (1, infinity], in...