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On a Theorem of DJRBASHIAN of the PHRAGMEN-LINDELÖF Type

✍ Scribed by Vartan Martirosian

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
274 KB
Volume
144
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

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, +-) szcch, that fur any interval (6, R) (0 -= 8 -c R < +a) When p = 2 this theorem was established by M. M. DJRBASHIAN (see [4], p-p.

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