On a criterion of belonging to the Hardy class Hp(ℂ+) up to exponential factor
Date
2003
Authors
Gergün, S.
Ostrovskii, I.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Journal of Mathematical Physics, Analysis, Geometry
Print ISSN
1812-9471
Electronic ISSN
1817-5805
Publisher
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
Volume
10
Issue
4
Pages
490 - 497
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
A criterion of belonging to the Hardy class Hp(ℂ+) up to factor eikz is obtained. It deals with functions f analytic in >ℂ+, having Blaschke zero-sets, and satisfying the condition |f(z)| ≤exp{|Imz|-1exp(o(|z|))}, z→ ∞, zÎ>ℂ+.