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On Analytic Functions Bounded at a Double Sequence of Points

✍ Scribed by Maitland, B. J.

Book ID: 120103505
Publisher: Oxford University Press
Year: 1939
Tongue: English
Weight: 377 KB
Volume: s2-45
Category: Article
ISSN: 0024-6115
DOI: 10.1112/plms/s2-45.1.440

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We consider functions f l , fa analytic in the upper half plane and continuous in its closure and investigate the following problem: Suppose that the product flfa is bounded in the half plane and both factors are bounded on the real axis; which assumptions on the growth of fl are sufficient for fz