Harmonic measures for symmetric stable processes

Jang-Mei Wu. "Harmonic measures for symmetric stable processes." Studia Mathematica 149.3 (2002): 279-291. <http://eudml.org/doc/285357>.

@article{Jang2002,
abstract = {Let D be an open set in ℝⁿ (n ≥ 2) and ω(·,D) be the harmonic measure on $D^\{c\}$ with respect to the symmetric α-stable process (0 < α < 2) killed upon leaving D. We study inequalities on volumes or capacities which imply that a set S on ∂D has zero harmonic measure and others which imply that S has positive harmonic measure. In general, it is the relative sizes of the sets S and $D^\{c\}∖S$ that determine whether ω(S,D) is zero or positive.},
author = {Jang-Mei Wu},
journal = {Studia Mathematica},
keywords = {symmetric -stable process; inequalities on volumes or capacities; harmonic measure},
language = {eng},
number = {3},
pages = {279-291},
title = {Harmonic measures for symmetric stable processes},
url = {http://eudml.org/doc/285357},
volume = {149},
year = {2002},
}

TY - JOUR
AU - Jang-Mei Wu
TI - Harmonic measures for symmetric stable processes
JO - Studia Mathematica
PY - 2002
VL - 149
IS - 3
SP - 279
EP - 291
AB - Let D be an open set in ℝⁿ (n ≥ 2) and ω(·,D) be the harmonic measure on $D^{c}$ with respect to the symmetric α-stable process (0 < α < 2) killed upon leaving D. We study inequalities on volumes or capacities which imply that a set S on ∂D has zero harmonic measure and others which imply that S has positive harmonic measure. In general, it is the relative sizes of the sets S and $D^{c}∖S$ that determine whether ω(S,D) is zero or positive.
LA - eng
KW - symmetric -stable process; inequalities on volumes or capacities; harmonic measure
UR - http://eudml.org/doc/285357
ER -