Invariant pluricomplex Green functions

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1. [AP] M. Abate and G. Patrizio, Uniqueness of complex geodesics and characterization of circular domains, Manuscripta Math. 74 (1992), 277-297. Zbl0758.53039
2. [A] A. Aytuna, On Stein manifolds M for which O(M) is isomorphic to $O\left({\Delta }^n\right)$, Manuscripta Math., 62 (1988), 297-315. Zbl0662.32014
3. [A1] K. Azukawa, Two intrinsic pseudo-metrics with pseudoconvex indicatrices and starlike circular domains, J. Math. Soc. Japan 38 (1986), 627-647. Zbl0607.32015
4. [A2] K. Azukawa, The invariant pseudo-metric related to negative plurisubharmonic functions, Kodai Math. J. 10 (1987), 83-92. Zbl0618.32020
5. [BL] T. Bagby and N. Levenberg, Bernstein theorems for harmonic functions, preprint, Indiana University, Bloomington, 1992. 
6. [B] E. Bedford, Survey of pluri-potential theory, preprint, 1990. 
7. [BD] E. Bedford and J.-P. Demailly, Two counterexamples concerning the pluri-complex Green function in $C^n$, Indiana Univ. Math. J. 37 (1988), 865-867. Zbl0681.32014
8. [BT1] E. Bedford and B. A. Taylor, The Dirichlet problem for a complex Monge-Ampère equation, Invent. Math. 37 (1976), 1-44. Zbl0315.31007
9. [BT2] E. Bedford and B. A. Taylor, A new capacity for plurisubharmonic functions, Acta Math. 149 (1982), 1-40. Zbl0547.32012
10. [BT3] E. Bedford and B. A. Taylor, Plurisubharmonic functions with logarithmic singularities, Ann. Inst. Fourier (Grenoble) 38 (1988), 133-171. Zbl0626.32022
11. [BT4] E. Bedford and B. A. Taylor, Uniqueness for the complex Monge-Ampère equation for functions of logarithmic growth, Indiana Univ. Math. J. 38 (1989), 455-469. Zbl0677.32002
12. [BŁ] Z. Błocki, Estimates for the complex Monge-Ampère operator, preprint, Jagiellonian University, Cracow, 1992. 
13. [BR] F. T. Brawn, The Green and Poisson kernels for the strip ${ℝ}^n\times ]0,1[$, J. London Math. Soc. 2 (1970), 439-454. Zbl0197.08502
14. [C1] U. Cegrell, Capacities in Complex Analysis, Aspects of Mathematics, Vieweg, Wiesbaden, 1988. Zbl0655.32001
15. [C2] U. Cegrell, The symmetric pluricomplex Green function, this volume, 135-141. Zbl0831.31008
16. [CLN] S. S. Chern, H. Levine and L. Nirenberg, Intrinsic norms on a complex manifold, in: Global analysis, papers in honour of K. Kodaira, University of Tokyo Press, 1969, 119-139. 
17. [D1] J. -P. Demailly, Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines, Mém. Soc. Math. France 19 (1985), 1-125. 
18. [D2] J. -P. Demailly, Mesures de Monge-Ampère et mesures pluri-sousharmoniques, Math. Z. 194 (1987), 519-564. Zbl0595.32006
19. [D] S. Dineen, The Schwarz Lemma, Oxford Math. Monographs, Clarendon Press, Oxford, 1989. Zbl0708.46046
20. [DG] S. Dineen and F. Gaughran, Maximal plurisubharmonic functions on domains in Banach spaces, preprint, University College Dublin, 1992. Zbl1080.46517
21. [DT] S. Dineen and R. M. Timoney, Complex geodesics on complex domains, in: Progress in Functional Analysis, K. D. Bierstedt, J. Bonet, J. Horváth and M. Maestre (eds.), Elsevier, 1992, 333-365. Zbl0785.46044
22. [H1] M. Hervé, Lindelöf's principle in infinite dimensions, in: Proceedings on Infinite Dimensional Holomorphy, T. L. Hayden and T. J. Suffridge (eds.), Lecture Notes in Math. 364, Springer, Berlin, 1974, 41-57. 
23. [H2] M. Hervé, Analyticity in Infinite Dimensional Spaces, de Gruyter Stud. Math. 10, Walter de Gruyter, Berlin, 1989. 
24. [JP1] M. Jarnicki and P. Pflug, Invariant pseudodistances and pseudometrics - completeness and product property, Ann. Polon. Math. 60 (1991), 169-189. Zbl0756.32016
25. [JP2] M. Jarnicki and P. Pflug, Invariant Distances and Metrics in Complex Analysis, Walter de Gruyter & Co, 1993. Zbl0789.32001
26. [K] C. O. Kiselman, Sur la définition de l'opérateur de Monge-Ampère complexe, in: Analyse complexe, proceedings, Toulouse 1983, E. Amar, R. Gay, and Nguyen Thanh Van (eds.), Lecture Notes in Math. 1094, Springer, Berlin, 1983, 139-150. 
27. [K1] M. Klimek, Extremal plurisubharmonic functions and invariant pseudodistances, Bull. Soc. Math. France 113 (1985), 231-240. Zbl0584.32037
28. [K2] M. Klimek, Infinitesimal pseudometrics and the Schwarz lemma, Proc. Amer. Math. Soc. 105 (1989), 134-140. Zbl0681.32018
29. [K3] M. Klimek, Pluripotential Theory, London Math. Soc. Monographs (New Series), Clarendon Press, Oxford, 1991. 
30. [KR] S. L. Krushkal, The Green function of Teichmüller spaces with applications, Bull. Amer. Math. Soc. 27 (1992), 143-147. 
31. [L] P. Lelong, Fonction de Green pluricomplexe pour les espaces de Banach, J. Math. Pures Appl. 68 (1989), 319-347. Zbl0633.32019
32. [L1] L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule, Bull. Soc. Math. France 109 (1981), 427-474. 
33. [L2] L. Lempert, Holomorphic retracts and intrinsic metrics in convex domains, Anal. Math. 8 (1982), 257-261. Zbl0509.32015
34. [L3] L. Lempert, Solving the degenerate Monge-Ampère equation with one concentrated singularity, Math. Ann. 263 (1983), 515-532. Zbl0531.35020
35. [M] S. Momm, Boundary behaviour of extremal plurisubharmonic functions, preprint, University of Düsseldorf, 1992. 
36. [PS] E. A. Poletskiĭ and B. V. Shabat, Invariant metrics, in: Encyclopaedia of Mathematical Sciences 9, Several Complex Variables III, G. M. Khenkin (ed.), trans. J. Peetre, Springer, Berlin, 1989, 63-111. 
37. [RT] J. Rauch and B. A. Taylor, The Dirichlet problem for the multidimensional Monge-Ampère equation, Rocky Mountain J. Math. 7 (1977), 345-364. Zbl0367.35025
38. [S] A. Sadullaev, Plurisubharmonic measures and capacities on complex manifolds, Russian Math. Surveys 36 (4) (1981), 61-119. Zbl0494.31005
39. [SE] S. Semmes, A generalization of Riemann mappings and geometric structures on a space of domains in $C^n$, Mem. Amer. Math. Soc. 472 (1992). 
40. [SI] N. Sibony, Quelques problèmes de prolongement de courants en analyse complexe, Duke Math. J. 52 (1985), 157-97. Zbl0578.32023
41. [V1] E. Vesentini, Variations on a theme of Carathéodory, Ann. Scuola Norm. Sup. Pisa 4 (1979), 39-68. Zbl0413.46039
42. [V2] E. Vesentini, Complex geodesics, Compositio Math. 44 (1981), 375-394. Zbl0488.30015
43. [V3] E. Vesentini, Complex geodesics and holomorphic maps, Symposia Math. 26 (1982), 211-230. 
44. [Z] A. Zeriahi, Fonction de Green pluricomplexe à pôle à l'infini sur un espace de Stein parabolique et applications, Math. Scand. 69 (1991), 89-126.