Add to ORKGIn this paper we study potential-theoretic properties of the symmetric:-stable processes (0<:<2): establishing the boundary Harnack principle for ratios of:-harmonic functions on any open sets, identifying the Martin boundary with the Euclidean boundary for open sets with a certain interior fatness property, and extending earlier results on intrinsic ultracontractivity and the conditional gauge theorem to certain open sets. 1999 Academic Press Key Words: symmetric stable processes; boundary Harnack principle; Martin boundary; conditional gauge theorem; intrinsic ultracontractivity. 1
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this thesis, a class of pro...
We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to _-...
If L is a uniformly elliptic operator in non–divergence form, the boundary Harnack principle for the...
AbstractWe establish a boundary Harnack principle for a large class of subordinate Brownian motions,...
Thesis (Ph.D.)--University of Washington, 2016-06We establish the boundary Harnack principle for cer...
AbstractWe establish a boundary Harnack principle for a large class of subordinate Brownian motions,...
We study potential theoretic properties of strictly α-stable processes whose Levy measure is compara...
We study potential theoretic properties of strictly α-stable processes whose Levy measure is compara...
We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric st...
Abstract. For d ≥ 1 and α ∈ (0, 2), consider the family of pseudo differential operators { ∆ + b∆α/2...
Martin boundaries and integral representations of positive functions which are harmonic in a bounded...
Martin boundaries and integral representations of positive functions which are harmonic in a bounded...
We present several constructions of a "censored stable process" in an open set D [is an element of t...
AbstractIt is shown in this paper that the conditional gauge theorem holds for symmetricα-stable pro...
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this thesis, a class of pro...
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this thesis, a class of pro...
We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to _-...
If L is a uniformly elliptic operator in non–divergence form, the boundary Harnack principle for the...
AbstractWe establish a boundary Harnack principle for a large class of subordinate Brownian motions,...
Thesis (Ph.D.)--University of Washington, 2016-06We establish the boundary Harnack principle for cer...
AbstractWe establish a boundary Harnack principle for a large class of subordinate Brownian motions,...
We study potential theoretic properties of strictly α-stable processes whose Levy measure is compara...
We study potential theoretic properties of strictly α-stable processes whose Levy measure is compara...
We study nonnegative functions which are harmonic on a Lipschitz domain with respect to symmetric st...
Abstract. For d ≥ 1 and α ∈ (0, 2), consider the family of pseudo differential operators { ∆ + b∆α/2...
Martin boundaries and integral representations of positive functions which are harmonic in a bounded...
Martin boundaries and integral representations of positive functions which are harmonic in a bounded...
We present several constructions of a "censored stable process" in an open set D [is an element of t...
AbstractIt is shown in this paper that the conditional gauge theorem holds for symmetricα-stable pro...
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this thesis, a class of pro...
87 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.In this thesis, a class of pro...
We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to _-...
If L is a uniformly elliptic operator in non–divergence form, the boundary Harnack principle for the...