On a criterion of belonging to the Hardy class Hp(ℂ+) up to exponential factor
Date
2003
Authors
Gergün, S.
Ostrovskii, I.
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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+.
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Journal of Mathematical Physics, Analysis, Geometry
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B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine
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English