Phragmén-Lindelöf theorems

Fenton, P.; Rossi, John

doi:10.1090/S0002-9939-03-07113-2

Phragmén-Lindelöf theorems
HTML articles powered by AMS MathViewer

by P. C. Fenton and John Rossi PDF

Proc. Amer. Math. Soc. 132 (2004), 761-768 Request permission

Abstract:

Results of Phragmén-Lindelöf type are obtained for subharmonic functions in sectorial domains of bounded angular extent.

References

Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
Saunders MacLane, Steinitz field towers for modular fields, Trans. Amer. Math. Soc. 46 (1939), 23–45. MR 17, DOI 10.1090/S0002-9947-1939-0000017-3
N. F. Dudley Ward and P. C. Fenton, Some results of Phragmén-Lindelöf type, J. Math. Anal. Appl. 192 (1995), no. 1, 63–70. MR 1329413, DOI 10.1006/jmaa.1995.1160
A. È. Erëmenko, M. L. Sodin, and D. F. Shia, The minimum of the modulus of an entire function on a sequence of Pólya peaks, Teor. Funktsiĭ Funktsional. Anal. i Prilozhen. 45 (1986), 26–40, i (Russian); English transl., J. Soviet Math. 48 (1990), no. 4, 386–398. MR 866467, DOI 10.1007/BF01097569
W. K. Hayman, Subharmonic functions. Vol. 2, London Mathematical Society Monographs, vol. 20, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London, 1989. MR 1049148
W. K. Hayman and P. B. Kennedy, Subharmonic functions. Vol. I, London Mathematical Society Monographs, No. 9, Academic Press [Harcourt Brace Jovanovich, Publishers], London-New York, 1976. MR 0460672
A. Hinkkanen and John Rossi, Entire functions with asymptotic functions, Math. Scand. 77 (1995), no. 1, 153–160. MR 1365912, DOI 10.7146/math.scand.a-12556
Tibor Radó, On the problem of Plateau. Subharmonic functions, Springer-Verlag, New York-Heidelberg, 1971. Reprint. MR 0344979, DOI 10.1007/978-3-642-65236-3
M. Tsuji, Potential theory in modern function theory, Maruzen Co. Ltd., Tokyo, 1959. MR 0114894