Turkish Journal of Mathematics
DOI
-
Abstract
We show that the function f(z) : = \frac{z}{1-z} \zeta (\frac{1}{1-z}), z < 1, belongs to the Hardy class H_{p} if and only if 0 < p < 1.
Keywords
Riemann zeta-function, Hardy class, Poisson representation
First Page
545
Last Page
552
Recommended Citation
EROGLU, K. ILGAR and OSTROVSKII, IOSSIF V. (2001) "On an Application of the Hardy Classes to the Riemann Zeta-Function," Turkish Journal of Mathematics: Vol. 25: No. 4, Article 8. Available at: https://journals.tubitak.gov.tr/math/vol25/iss4/8