A new setting for potential theory. I

Chung, Kai Lai, and Rao, K. Murali. "A new setting for potential theory. I." Annales de l'institut Fourier 30.3 (1980): 167-198. <http://eudml.org/doc/74458>.

@article{Chung1980,
abstract = {We consider a transient Hunt process in which the potential density $u$ satisfies the conditions: (a) for each $x$, $u(x,y)^\{-1\}$ is finite continuous in $y$; (b) $u(x,y)=+\infty $ iff $x=y$. In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).},
author = {Chung, Kai Lai, Rao, K. Murali},
journal = {Annales de l'institut Fourier},
keywords = {new setting for potential theory; transient Hunt process; potential density; equilibrium principle; decomposition; uniqueness},
language = {eng},
number = {3},
pages = {167-198},
publisher = {Association des Annales de l'Institut Fourier},
title = {A new setting for potential theory. I},
url = {http://eudml.org/doc/74458},
volume = {30},
year = {1980},
}

TY - JOUR
AU - Chung, Kai Lai
AU - Rao, K. Murali
TI - A new setting for potential theory. I
JO - Annales de l'institut Fourier
PY - 1980
PB - Association des Annales de l'Institut Fourier
VL - 30
IS - 3
SP - 167
EP - 198
AB - We consider a transient Hunt process in which the potential density $u$ satisfies the conditions: (a) for each $x$, $u(x,y)^{-1}$ is finite continuous in $y$; (b) $u(x,y)=+\infty $ iff $x=y$. In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).
LA - eng
KW - new setting for potential theory; transient Hunt process; potential density; equilibrium principle; decomposition; uniqueness
UR - http://eudml.org/doc/74458
ER -