Dergiler / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 4

On an Application of the Hardy Classes to the Riemann Zeta-Function

Sayfa
545–551
DOI
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Özet

We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.

Abstract

We show that the function f(z) : = \frac{z}{1-z} z (\frac{1}{1-z}), |z| < 1, belongs to the Hardy class Hp if and only if 0 < p < 1.

Anahtar kelimeler: Riemann zeta-function, Hardy class, Poisson representation