We prove that the subharmonic envelope of a lower semicontinuous function on Omega is harmonic on a certain open subset of Omega, using a very classical method in potential theory. The result gives simple proofs of theorems on harmonic measures and Jensen measures obtained by Cole and Ransford.
@article{urn:eudml:doc:41589,
title = {Remarks on subharmonic envelopes.},
journal = {Publicacions Matem\`atiques},
volume = {50},
year = {2006},
pages = {447-456},
zbl = {1129.31001},
mrnumber = {MR2273669},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41589}
}
Ngoc Son, Duong. Remarks on subharmonic envelopes.. Publicacions Matemàtiques, Tome 50 (2006) pp. 447-456. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41589/