Regularity theorem for functions that are extremal to Paley inequality

doi:10.4314/sinet.v24i2.18182

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Regularity theorem for functions that are extremal to Paley inequality

Seid Mohammed

Abstract

In this paper we study the asymptotic behavior of functions that are extremal to the inequality introduced by Paley (1932) via a normal family of subharmonic functions.

SINET: Ethiopian Journal of Science Volume 24, No. 2 (December 2001), pp. 143-150

Key words/phrases: Subharmonic, characteristic function, lower order, Pólya peaks, *-function.

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SINET: Ethiopian Journal of Science. ISSN: 0379-2897

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