Revistes Catalanes amb Accés Obert (RACO)

Remarks on subharmonic envelopes

Duong Ngoc Son


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.

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