Displaying similar documents to “Dimension of measures: the probabilistic approach.”

Remarks on subharmonic envelopes.

Duong Ngoc Son (2006)

Publicacions Matemàtiques

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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.

On the Toëplitz corona problem.

Eric Amar (2003)

Publicacions Matemàtiques

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The aim of this note is to characterize the vectors g = (g, . . . ,g) of bounded holomorphic functions in the unit ball or in the unit polydisk of C such that the Corona is true for them in terms of the H Corona for measures on the boundary.