@article{ASNSP_1985_4_12_4_503_0, author = {Bland, J. and Graham, Ian}, title = {On the {Hausdorff} measures associated to the {Carath\'eodory} and {Kobayashi} metrics}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {503--514}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 12}, number = {4}, year = {1985}, mrnumber = {848839}, zbl = {0593.32019}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1985_4_12_4_503_0/} }
TY - JOUR AU - Bland, J. AU - Graham, Ian TI - On the Hausdorff measures associated to the Carathéodory and Kobayashi metrics JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1985 SP - 503 EP - 514 VL - 12 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1985_4_12_4_503_0/ LA - en ID - ASNSP_1985_4_12_4_503_0 ER -
%0 Journal Article %A Bland, J. %A Graham, Ian %T On the Hausdorff measures associated to the Carathéodory and Kobayashi metrics %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1985 %P 503-514 %V 12 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1985_4_12_4_503_0/ %G en %F ASNSP_1985_4_12_4_503_0
Bland, J.; Graham, Ian. On the Hausdorff measures associated to the Carathéodory and Kobayashi metrics. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 12 (1985) no. 4, pp. 503-514. http://www.numdam.org/item/ASNSP_1985_4_12_4_503_0/
[1] Some counterexamples concerning intrinsic distances, Proc. Amer. Math. Soc., 66 (1977), pp. 49-53. | MR | Zbl
,[2] Convex domains and Kobayashi hyperbolicity, Proc. Amer. Math. Soc., 79 (1980), pp. 556-558. | MR | Zbl
,[3] Intrinsic area, Ann. of Math., 48 (1947), pp. 234-267. | MR | Zbl
,[4] On the foundations of the calculus of variations, Trans. Amer. Math. Soc., 49 (1941), pp. 173-198. | JFM | MR | Zbl
- ,[5] Intrinsic measures on complex manifolds and holomorphic mappings, Mem. Amer. Math. Soc., no. 96, Amer. Math. Soc., Providence, 1970. | MR | Zbl
(= ),[6] Geometric Measure Theory, Springer-Verlag, New York, 1969. | MR | Zbl
,[7] Some remarks on the intrinsic measures of Eisenman, Trans. Amer. Math. Soc. 288 (1985), pp. 625-660. | MR | Zbl
- ,[8] Characterizations of the unit ball B n in complex Euclidean space, Math. Z. 189 (1985), pp. 449-456. | MR | Zbl
- ,[9] Hyperbolic Manifolds and Holomorphic Mappings, Marcel Dekker, New York, 1970. | MR | Zbl
,[10] Intrinsic distances, measures and geometric function theory, Bull. Amer. Math. Soc., 82 (1976), pp. 357-416. | MR | Zbl
,[11] Function Theory of Several Complex Variables, John Wiley & Sons, New York, 1982. | MR | Zbl
,[12] La métrique de Kobayashi et la representation des domaines sur la boule, Bull. Soc. Math. France, 109 (1981), pp. 427-474. | Numdam | MR | Zbl
,[13] Holomorphic retracts and intrinsic metrics in convex domains, Anal. Math., 8 (1982), pp. 257-261. | MR | Zbl
,[14] Holomorphic maps which preserve intrinsic measure, Amer. J. Math., 97 (1975), pp. 1-15. | MR | Zbl
(= ),[15] Die differentialgeometrischen Eigenschaften der invarianten Distanzfunktion von Caratheodory, Schriftenreihe Math. Inst. Univ. Münster, no. 26 (1963). | MR | Zbl
,[16] Remarks on the Kobayashi metric, Several Complex Variables II (Proc. Intern. Conf. Univ. of Maryland, 1970), Lecture Notes in Mathematics, Vol. 185, Springer-Verlag, New York - Heidelberg - Berlin, 1971, pp. 125-137. | MR | Zbl
,[17] Caratheodory and Kobayashi metric on convex domains, to appear.
- ,