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Harmonic and Superharmonic Majorants on the Disk |
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| Authors: | Borichev Alexander; Nicolau Artur; Thomas Pascal J |
| Institution: | LaBAG, Université Bordeaux 1 351 cours de la Libération, 33405 Talence CEDEX, France Alexander.Borichev{at}math.u-bordeaux.fr Departament de Matemàtiques, Universitat Autònoma de Barcelona 08193 Bellaterra, Spain artur{at}mat.uab.es Laboratoire de Mathématiques Emile Picard UMR CNRS 5580, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse CEDEX, France pthomas{at}cict.fr |
| Abstract: | A proof is given to show that a positive function on the unitdisk admits a harmonic majorant if and only if it has a certainexplicit upper envelope that admits a superharmonic majorant.The (logarithmic) Lipschitz regularity of this superharmonicmajorant is discussed. 2000 Mathematics Subject Classification31A05. |
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