On definitions of superharmonic functions

@article{Itô1975,
abstract = {Let $A$ be an elliptic differential operator of second order with variable coefficients. In this paper it is proved that any $A$-superharmonic function in the Riesz-Brelot sense is locally summable and satisfies the $A$-superharmonicity in the sense of Schwartz distribution.},
author = {Itô, Seizô},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {3-4},
pages = {309-316},
publisher = {Association des Annales de l'Institut Fourier},
title = {On definitions of superharmonic functions},
url = {http://eudml.org/doc/74249},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Itô, Seizô
TI - On definitions of superharmonic functions
JO - Annales de l'institut Fourier
PY - 1975
PB - Association des Annales de l'Institut Fourier
VL - 25
IS - 3-4
SP - 309
EP - 316
AB - Let $A$ be an elliptic differential operator of second order with variable coefficients. In this paper it is proved that any $A$-superharmonic function in the Riesz-Brelot sense is locally summable and satisfies the $A$-superharmonicity in the sense of Schwartz distribution.
LA - eng
UR - http://eudml.org/doc/74249
ER -