Some properties of α-harmonic measure

Dimitrios Betsakos

Colloquium Mathematicae (2008)

  • Volume: 111, Issue: 2, page 297-314
  • ISSN: 0010-1354

Abstract

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The α-harmonic measure is the hitting distribution of symmetric α-stable processes upon exiting an open set in ℝⁿ (0 < α < 2, n ≥ 2). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for α-harmonic measure.

How to cite

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Dimitrios Betsakos. "Some properties of α-harmonic measure." Colloquium Mathematicae 111.2 (2008): 297-314. <http://eudml.org/doc/283738>.

@article{DimitriosBetsakos2008,
abstract = {The α-harmonic measure is the hitting distribution of symmetric α-stable processes upon exiting an open set in ℝⁿ (0 < α < 2, n ≥ 2). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for α-harmonic measure.},
author = {Dimitrios Betsakos},
journal = {Colloquium Mathematicae},
keywords = {Riesz capacity},
language = {eng},
number = {2},
pages = {297-314},
title = {Some properties of α-harmonic measure},
url = {http://eudml.org/doc/283738},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Dimitrios Betsakos
TI - Some properties of α-harmonic measure
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 2
SP - 297
EP - 314
AB - The α-harmonic measure is the hitting distribution of symmetric α-stable processes upon exiting an open set in ℝⁿ (0 < α < 2, n ≥ 2). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for α-harmonic measure.
LA - eng
KW - Riesz capacity
UR - http://eudml.org/doc/283738
ER -

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