Non-normal functions f(z) with ∫∫|z|<1|f'(z)|dxdy<∞

Harold ALLEN; Charles BELNA

doi:10.2969/jmsj/02410128

Non-normal functions f(z) with ∫∫_|z|<1|f'(z)|dxdy<∞

Harold ALLEN, Charles BELNA

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ジャーナルフリー

1972 年 24 巻 1 号 p. 128-131

DOI https://doi.org/10.2969/jmsj/02410128

詳細

Published: 1972 Received: 1971/06/28 Available on J-STAGE: 2006/09/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/09/29 訂正理由: - 訂正箇所: 論文タイトル訂正内容: Wrong : Non-normal functions f(z) with _??_<|z|<1>|f'(z)|dxdy<∞
Right : Non-normal functions f(z) with ∫∫_|z|<1|f'(z)|dxdy<∞

訂正日: 2006/09/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) F. Bagemihi and W. Seidel, Sequential and continuous limits of meromorphic functions, Ann. Acad. Sci. Fenn. AI, 280 (1960), 1-17.
2) P. Lappan, Some sequential properties of normal and non-normal functions with applications to automorphic functions, Comment. Math. Univ. St. Paul., 12 (1964), 41-57.
3) P. Lappan, Some results on harmonic normal functions, Math. Z., 90 (1965), 155-159.
4) P. Lappan, Non-normal sums and products of unbounded normal functions, Michigan Math. J., 8 (1961), 187-192.
5) O. Lehto and K.I. Virtanen, Boundary behaviour and normal meromorphic functions, Acta Math., 97 (1957), 47-65.
6) J.H. Mathews, Coefficients of uniformly normal-Bloch functions (to appear).
7) S.N. Mergeljan, On an integral connected with analytic functions, Isv. Akad. Nauk SSSR Ser. Mat., 15 (1951), 395-400, (Russian).

Right : [1] F. Bagemihi and W. Seidel, Sequential and continuous limits of meromorphic functions, Ann. Acad. Sci. Fenn. AI, 280 (1960), 1-17.
[2] P. Lappan, Some sequential properties of normal and non-normal functions with applications to automorphic functions, Comment. Math. Univ. St. Paul., 12 (1964), 41-57.
[3] P. Lappan, Some results on harmonic normal functions, Math. Z., 90 (1965), 155-159.
[4] P. Lappan, Non-normal sums and products of unbounded normal functions, Michigan Math. J., 8 (1961), 187-192.
[5] O. Lehto and K. I. Virtanen, Boundary behaviour and normal meromorphic functions, Acta Math., 97 (1957), 47-65.
[6] J. H. Mathews, Coefficients of uniformly normal-Bloch functions (to appear).
[7] S. N. Mergeljan, On an integral connected with analytic functions, Izv. Akad. Nauk SSSR Ser. Mat., 15 (1951), 395-400, (Russian).

訂正日: 2006/09/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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