Integral means of analytic functions

Bernard Pinchuk

Research output: Contribution to journalArticlepeer-review

Abstract

Sharp bounds for general integral means of analytic functions in the unit disc are determined. These bounds depend only on the moduli of the points on the boundary of the image domain nearest to and farthest from the origin. The proof is shown to be a simple application of a deep theorem of A. Beurling in potential theory.

Original languageEnglish
Pages (from-to)105-107
Number of pages3
JournalIsrael Journal of Mathematics
Volume17
Issue number1
DOIs
StatePublished - Mar 1974

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