Extremal problems on conformal moduli and estimates for harmonic measures

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Abstract

We obtain numerous new estimates for the harmonic measures of continua concerning several problems, which have been considered previously by T. Hall, D. Gaier, J. A. Jenkins, W. K. Hayman and J.-M. Wu, and others. We usually give a complete solution of a problem, including a description of the extremal configurations. Our approach is based on some new results in the Jenkins Module theory and in the theory of symmetrization.

Original languageEnglish
Pages (from-to)1-49
Number of pages49
JournalJournal d'Analyse Mathematique
Volume74
DOIs
StatePublished - 1998

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