Remarks on subharmonic envelopes.

Duong Ngoc Son

Publicacions Matemàtiques (2006)

  • Volume: 50, Issue: 2, page 447-456
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Ngoc Son, Duong. "Remarks on subharmonic envelopes.." Publicacions Matemàtiques 50.2 (2006): 447-456. <http://eudml.org/doc/41589>.

@article{NgocSon2006,
abstract = {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.},
author = {Ngoc Son, Duong},
journal = {Publicacions Matemàtiques},
keywords = {Teoria del potencial; Función subarmónica; greatest subharmonic minorant of a function; Jensen mesures; harmonic measures},
language = {eng},
number = {2},
pages = {447-456},
title = {Remarks on subharmonic envelopes.},
url = {http://eudml.org/doc/41589},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Ngoc Son, Duong
TI - Remarks on subharmonic envelopes.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 2
SP - 447
EP - 456
AB - 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.
LA - eng
KW - Teoria del potencial; Función subarmónica; greatest subharmonic minorant of a function; Jensen mesures; harmonic measures
UR - http://eudml.org/doc/41589
ER -

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