Lossif V. OSTROVSKII, K. Ilgar EROĞLU

3517

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

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

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

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.

Keywords:

Riemann zeta-function, Hardy class, Poisson representation,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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

Lossif V. OSTROVSKII, K. Ilgar EROĞLU