Harmonic and superharmonic majorants on the disk

Alexander Borichev; Artur Nicolau; Pascal J. Thomas

doi:10.1112/S0024609306018339

Harmonic and superharmonic majorants on the disk

Alexander Borichev, Artur Nicolau, Pascal J. Thomas

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

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Abstract

A proof is given to show that a positive function on the unit disk admits a harmonic majorant if and only if it has a certain explicit upper envelope that admits a superharmonic majorant. The (logarithmic) Lipschitz regularity of this superharmonic majorant is discussed. © 2006 London Mathematical Society.

Original language	English
Pages (from-to)	250-260
Journal	Bulletin of the London Mathematical Society
Volume	38
Issue number	2
DOIs	https://doi.org/10.1112/S0024609306018339
Publication status	Published - 1 Jan 2006

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AB - A proof is given to show that a positive function on the unit disk admits a harmonic majorant if and only if it has a certain explicit upper envelope that admits a superharmonic majorant. The (logarithmic) Lipschitz regularity of this superharmonic majorant is discussed. © 2006 London Mathematical Society.

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JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

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Harmonic and superharmonic majorants on the disk

Abstract

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