Category Results for Tsuji Functions
Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 552-558

Voir la notice de l'article provenant de la source Cambridge University Press

Let D be the unit disk, |z| < 1, and H(D) the Fréchet space of holomorphic functions on D, provided with the topology of uniform convergence on compact subsets of D. If f is meromorphic in D, we denote by
Bonar, D. D.; Carroll, F. W.; Colwell, Peter. Category Results for Tsuji Functions. Canadian journal of mathematics, Tome 29 (1977) no. 3, pp. 552-558. doi: 10.4153/CJM-1977-057-0
@article{10_4153_CJM_1977_057_0,
     author = {Bonar, D. D. and Carroll, F. W. and Colwell, Peter},
     title = {Category {Results} for {Tsuji} {Functions}},
     journal = {Canadian journal of mathematics},
     pages = {552--558},
     year = {1977},
     volume = {29},
     number = {3},
     doi = {10.4153/CJM-1977-057-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-057-0/}
}
TY  - JOUR
AU  - Bonar, D. D.
AU  - Carroll, F. W.
AU  - Colwell, Peter
TI  - Category Results for Tsuji Functions
JO  - Canadian journal of mathematics
PY  - 1977
SP  - 552
EP  - 558
VL  - 29
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-057-0/
DO  - 10.4153/CJM-1977-057-0
ID  - 10_4153_CJM_1977_057_0
ER  - 
%0 Journal Article
%A Bonar, D. D.
%A Carroll, F. W.
%A Colwell, Peter
%T Category Results for Tsuji Functions
%J Canadian journal of mathematics
%D 1977
%P 552-558
%V 29
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1977-057-0/
%R 10.4153/CJM-1977-057-0
%F 10_4153_CJM_1977_057_0

[1] 1. Anderson, J. M., Category theorems for certain Banach spaces of analytic functions, J. Reine Angew. Math. 249 (1971), 83–91. Google Scholar

[2] 2. Bagemihl, F., Tsuji points and Tsuji functions, Comment. Math. Univ. St. Paul 17 (1968), 17–20. Google Scholar

[3] 3. Bagemihl, F. and Erdos, P., A problem concerning the zeros of a certain kind of holomorphic function in the unit disk, J. Reine Angew. Math. 214/215 (1964), 340–344. Google Scholar

[4] 4. Banach, S., Opérations linéaires (Chelsea, N.Y.). Google Scholar

[5] 5. Bonar, D. D., On annular function, VEB Deutscher Verlag der Wissenschaften, Berlin, 1971. Google Scholar

[6] 6. Bonar, D. D. and Carroll, F. W., Annular functions form a residual set, J. Reine Angew. Math. 272 (1975), 23–24. Google Scholar

[7] 7. Brown, L. and Hansen, L., On the range sets of Hp functions, Pacific J. Math. 42 (1972), 27–32. Google Scholar

[8] 8. Collingwood, E. F. and Lohwater, A. J., The theory of cluster sets, (Cambridge University Press, London 1966). Google Scholar

[9] 9. Collingwood, E. F. and Piranian, G., Tsuji functions with segments of Julia, Math. Z. 84 (1964), 246–253. Google Scholar

[10] 10. Cohvell, P., A category theorem for Tsuji functions, Proc. A.M.S. 51 (1975), 344–346. Google Scholar

[11] 11. Hayman, W. K., The boundary behaviour of Tsuji functions, Mich. Math. J. 15 (1968), 1–26. Google Scholar

[12] 12. Howell, R. W., Annular functions and residual sets, Proc. A.M.S. 52 (1975), 217–221. Google Scholar

[13] 13. McMillan, J. E., Principal cluster values of continuous functions, Math. Z. 91 (1966), 186–197. Google Scholar

[14] 14. Taylor, A. E., Functional analysis (Wiley, New York). Google Scholar

[15] 15. Tsuji, M., A theorem on the boundary behaviour of a meromorphic function in \z\ &lt; 1, Comment. Math. Univ. St. Paul 8 (1960), 53–55. Google Scholar

Cité par Sources :