On asymptotic behaviors of analytic mappings on the Martin boundary

Niimura, Mikio

doi:10.1090/S0002-9939-1975-0379847-1

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On asymptotic behaviors of analytic mappings on the Martin boundary
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Proc. Amer. Math. Soc. 53 (1975), 133-136 Request permission

Abstract:

Some generalizations of the analogue of Collingwood and Cartwright in the large of Iversen’s theorem are given.

References

E. F. Collingwood and M. L. Cartwright, Boundary theorems for a function meromorphic in the unit circle, Acta Math. 87 (1952), 83–146. MR 50010, DOI 10.1007/BF02392284
Corneliu Constantinescu and Aurel Cornea, Ideale Ränder Riemannscher Flächen, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 32, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1963 (German). MR 0159935
Maurice Heins, Lindelöfian maps, Ann. of Math. (2) 62 (1955), 418–446. MR 75311, DOI 10.2307/1970072

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