@article{ASNSP_1979_4_6_3_381_0, author = {Bedford, Eric and Burns, Dan}, title = {Holomorphic mapping of annuli in $C^n$ and the associated extremal function}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {381--414}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 6}, number = {3}, year = {1979}, mrnumber = {553791}, zbl = {0422.32021}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1979_4_6_3_381_0/} }
TY - JOUR AU - Bedford, Eric AU - Burns, Dan TI - Holomorphic mapping of annuli in $C^n$ and the associated extremal function JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1979 SP - 381 EP - 414 VL - 6 IS - 3 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1979_4_6_3_381_0/ LA - en ID - ASNSP_1979_4_6_3_381_0 ER -
%0 Journal Article %A Bedford, Eric %A Burns, Dan %T Holomorphic mapping of annuli in $C^n$ and the associated extremal function %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1979 %P 381-414 %V 6 %N 3 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1979_4_6_3_381_0/ %G en %F ASNSP_1979_4_6_3_381_0
Bedford, Eric; Burns, Dan. Holomorphic mapping of annuli in $C^n$ and the associated extremal function. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 6 (1979) no. 3, pp. 381-414. http://archive.numdam.org/item/ASNSP_1979_4_6_3_381_0/
[1] Conformal Invariants : Topics in Geometric Function Theory, McGraw-Hill, New York, 1973. | MR | Zbl
,[2] Foliations and complex Monge-Ampère equations, Comm. Pure Appl. Math., 30 (1977), pp. 543-571. | MR | Zbl
- ,[3] The Dirichlet problem for a complex Monge-Ampère equation, Inv. Math., 37 (1976), pp. 1-44. | MR | Zbl
- ,[4] Variational properties of the complex Monge-Ampère equation. II: Intrinsic norms, Amer. J. Math., to appear. | MR | Zbl
- ,[5] Sur les fonctions de plusieurs variables complexes, Math. Z., 35 (1932), pp. 760-773. | JFM | MR | Zbl
,[6] Intrinsic norms on a complex manifold, Global Analysis. Papers in Honor of K. Kodaira, Princeton Univ. Press (1969), pp. 119-139. | MR | Zbl
- - ,[7] Pseudoconvex domains with real-analytic boundary, Ann. of Math., 107 (1978), pp. 371-384. | MR | Zbl
- ,[8] Intrinsic measures on complex manifolds and holomorphic mappings, Mem. Amer. Math. Soc., no. 96, Providence (1970). | MR | Zbl
,[9] Geometric Measure Theory, Springer-Verlag, New York (1969). | MR | Zbl
,[10] Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math., 98 (1976), pp. 529-569. | MR | Zbl
,[11] On the isometric immersions in euclidean space of manifolds with nonnegative sectional curvatures, Trans. Amer. Math. Soc., 147 (1970), pp. 529-540. | MR | Zbl
,[12] Über analytische Abbildungen von Ringgebieten in Ringgebiete, Compositio. Math., 9 (1951), pp. 161-168. | EuDML | Numdam | MR | Zbl
,[13] Über analytische Abbildungen Riemannscher Flachen in sich, Comment. Math. Helv., 27 (1953), pp. 1-73. | EuDML | MR | Zbl
,[14] q-plurisubharmonic functions and a generalized Dirichlet problem, Mich. Math. J., 25 (1978), pp. 299-316. | MR | Zbl
- ,[15] On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on Cn, Ark. Mat., 16 (1978), pp. 109-115. | MR | Zbl
,[16] A Monge-Ampère equation in complex analysis, Proceedings of Symposia in Pure Math., 30 (1977), pp. 161-167. | MR | Zbl
,[17] On analytic mappings of Riemann surfaces, J. Analyse Math., 7 (1959-60), pp. 249-279. | MR | Zbl
- ,[18] Several Complex Variables, Univ. of Chicago Press, Chicago, 1971. | MR | Zbl
,[19] On extendability of isomorphisms of Cartan connections and biholomorphic mappings of bounded domains, Tôhoku Math. J., 28 (1976), pp. 117-122. | MR | Zbl
,[20] Lectures on linear partial differential equations, Regional Conference Series in Mathematics, no. 17, 1973. | MR | Zbl
,[21] On hyper-surfaces with nonnegative sectional curvatures, Amer. J. Math., 82 (1960), pp. 609-630. | MR | Zbl
,[22] On the modules of doubly connected domains, Quart. J. Math., 17 (1946), pp. 197-213. | MR | Zbl
,[23] Extremal plurisubharmonic functions in Cn, Proceedings of the First Finnish-Polish Summer School in Complex Analysis (1977), pp. 115-152. | MR | Zbl
,[24] A generalization of Ostrowski's theorem on lacunary power series Bull. Acad. Polon. Sci., 8 (1976), pp. 569-574. | MR | Zbl
,[25] Continuity of envelopes of plurisubharmonic functions, J. Math. Mech., 18 (1968), pp. 143-148. | MR | Zbl
,[26] Extremal plurisubharmonic functions, orthogonal polynomials and the Bernstein-Walsh theorem for analytic functions of s.c.v., Ann. Pol. Math., 33 (1976), pp. 137-148. | MR
,[27] Subellipticity of the ∂-Neumann problem on pseudo-convex domains, Acta Math., 142 (1979), p. 114. | MR | Zbl
,[28] Counterexamples to regularity for the complex Monge-Ampère equation, Inv. Math., 50 (1979), pp. 129-134. | EuDML | MR | Zbl
- ,[29] Holomorphic mapping of products of annuli, Pacific J. Math., to appear. | MR | Zbl
,[30] Extremal plurisubharmonic functions for certain domains in C2, Indiana Univ. Math. J., to appear. | MR | Zbl
,[31] Regularity for the Dirichlet problem for the complex Monge-Ampère equation det (ujk) = 0, Proc. Nat. Acad. Sci. U.S.A., to appear. | MR
,[32] The characterization of strictly parabolic manifolds, Ann. Scuola Norm. Sup. Pisa, to appear. | EuDML | Numdam | MR | Zbl
,[33] Curvatures of foliations and complex Monge-Ampère equations, in preparation.
,