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The algebraic surfaces on which the classical Phragmén-Lindelöf theorem holds

✍ Scribed by Rüdiger W. Braun; Reinhold Meise; B. A. Taylor

Publisher
Springer-Verlag
Year
2006
Tongue
French
Weight
323 KB
Volume
253
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

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The aim of this paper is to prove the following theorem of the PHRAGMEN-LINDE-LOF type. ## Theorem. Let f ( z ) be analytic in the angular domain and for some p E (0, + -) satistifis the following conditions: a) there exists the boundary function f [ r e q ) ( k i i x l ( 2 a ) ) I ~L p (0, +-) s

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We consider the function f ( z ) analytic in the half plane Q+ = { z : Im z -0) and continuous in its closure. Theorems of the PHEAGMJ~N-LINDELOF type are characterized by assuming growth restrictions for If(z)l in the closure of @+, which are sufficient for i t to be bounded or at most of exponenti