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/