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On One Uniqueness Theorem for a Weighted Hardy Space

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Ukrainian Mathematical Journal Aims and scope

A uniqueness theorem is proved for the space of functions analytic in the right half plane and satisfying the condition

$$ \underset{\left|\upvarphi \right|<\frac{\uppi}{2}}{ \sup}\left\{{\displaystyle \underset{0}{\overset{+\infty }{\int }}{\left|f\left(r{e}^{i\varphi}\right)\right|}^p{e}^{-p\sigma r\left| \sin \varphi \right|}dr}\right\}<+\infty . $$

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 3, pp. 326–332, March, 2015.

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Hishchak, T.I. On One Uniqueness Theorem for a Weighted Hardy Space. Ukr Math J 67, 372–380 (2015). https://doi.org/10.1007/s11253-015-1086-0

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