@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},
year = {1979},
publisher = {Scuola normale superiore},
volume = {Ser. 4, 6},
number = {3},
mrnumber = {553791},
zbl = {0422.32021},
language = {en},
url = {https://www.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 - https://www.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 https://www.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. https://www.numdam.org/item/ASNSP_1979_4_6_3_381_0/
[1] , Conformal Invariants : Topics in Geometric Function Theory, McGraw-Hill, New York, 1973. | Zbl | MR
[2] - , Foliations and complex Monge-Ampère equations, Comm. Pure Appl. Math., 30 (1977), pp. 543-571. | Zbl | MR
[3] - , The Dirichlet problem for a complex Monge-Ampère equation, Inv. Math., 37 (1976), pp. 1-44. | Zbl | MR
[4] - , Variational properties of the complex Monge-Ampère equation. II: Intrinsic norms, Amer. J. Math., to appear. | Zbl | MR
[5] , Sur les fonctions de plusieurs variables complexes, Math. Z., 35 (1932), pp. 760-773. | Zbl | MR | JFM
[6] - - , Intrinsic norms on a complex manifold, Global Analysis. Papers in Honor of K. Kodaira, Princeton Univ. Press (1969), pp. 119-139. | Zbl | MR
[7] - , Pseudoconvex domains with real-analytic boundary, Ann. of Math., 107 (1978), pp. 371-384. | Zbl | MR
[8] , Intrinsic measures on complex manifolds and holomorphic mappings, Mem. Amer. Math. Soc., no. 96, Providence (1970). | Zbl | MR
[9] , Geometric Measure Theory, Springer-Verlag, New York (1969). | Zbl | MR
[10] , Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math., 98 (1976), pp. 529-569. | Zbl | MR
[11] , On the isometric immersions in euclidean space of manifolds with nonnegative sectional curvatures, Trans. Amer. Math. Soc., 147 (1970), pp. 529-540. | Zbl | MR
[12] , Über analytische Abbildungen von Ringgebieten in Ringgebiete, Compositio. Math., 9 (1951), pp. 161-168. | Numdam | Zbl | MR | EuDML
[13] , Über analytische Abbildungen Riemannscher Flachen in sich, Comment. Math. Helv., 27 (1953), pp. 1-73. | Zbl | MR | EuDML
[14] - , q-plurisubharmonic functions and a generalized Dirichlet problem, Mich. Math. J., 25 (1978), pp. 299-316. | Zbl | MR
[15] , On the equivalence between locally polar and globally polar sets for plurisubharmonic functions on Cn, Ark. Mat., 16 (1978), pp. 109-115. | Zbl | MR
[16] , A Monge-Ampère equation in complex analysis, Proceedings of Symposia in Pure Math., 30 (1977), pp. 161-167. | Zbl | MR
[17] - , On analytic mappings of Riemann surfaces, J. Analyse Math., 7 (1959-60), pp. 249-279. | Zbl | MR
[18] , Several Complex Variables, Univ. of Chicago Press, Chicago, 1971. | Zbl | MR
[19] , On extendability of isomorphisms of Cartan connections and biholomorphic mappings of bounded domains, Tôhoku Math. J., 28 (1976), pp. 117-122. | Zbl | MR
[20] , Lectures on linear partial differential equations, Regional Conference Series in Mathematics, no. 17, 1973. | Zbl | MR
[21] , On hyper-surfaces with nonnegative sectional curvatures, Amer. J. Math., 82 (1960), pp. 609-630. | Zbl | MR
[22] , On the modules of doubly connected domains, Quart. J. Math., 17 (1946), pp. 197-213. | Zbl | MR
[23] , Extremal plurisubharmonic functions in Cn, Proceedings of the First Finnish-Polish Summer School in Complex Analysis (1977), pp. 115-152. | Zbl | MR
[24] , A generalization of Ostrowski's theorem on lacunary power series Bull. Acad. Polon. Sci., 8 (1976), pp. 569-574. | Zbl | MR
[25] , Continuity of envelopes of plurisubharmonic functions, J. Math. Mech., 18 (1968), pp. 143-148. | Zbl | MR
[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. | Zbl | MR
[28] - , Counterexamples to regularity for the complex Monge-Ampère equation, Inv. Math., 50 (1979), pp. 129-134. | Zbl | MR | EuDML
[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. | Zbl | MR
[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. | Numdam | Zbl | MR | EuDML
[33] , Curvatures of foliations and complex Monge-Ampère equations, in preparation.






