References of Volume and capacity of sublevel sets of a Lelong class of plurisubharmonic functions

Chapter 244

Bibliography edges; mathematical prerequisites and exact-result citation alignment unverified.

[Al] H. A LEXANDER, Projective capacity, Ann. of Math. Studies, Conference on Several Complex Variables 100(1981), Princeton, pp. 3-27.
Chapter 109: Projective capacity
[Al-Ta] H. A LEXANDER & B.A. TAYLOR, Comparison of two capacities in Cn , Math. Zeit. 186(1984), 407-417.
Chapter 110: Comparison of two capacities in Cⁿ
[Be-Ta 1] E. B EDFORD & B.A. TAYLOR, A new capacity for plurisubharmonic functions, Acta Math. 149(1982), 1-40.
Chapter 111: A new capacity for plurisubharmonic functions
[Be-Ta 2] , Plurisubharmonic functions with logarithmic singularities, Ann. Inst. Fourier, Grenoble 38(1998), 133-171.
Chapter 112: Plurisubharmonic functions with logarithmic singularities
[Bl] Z. B LOCKI, Estimates for the complex Monge-Ampère operator, Bull. Polish Acad. Sci. Math. 41(1993), 151-157.
Chapter 113: Estimates for the complex Monge-Ampère operator
[Br] A. B RUDNYI, Local estimates for plurisubharmonic functions, Annals of Math. 149(1999), 511-533.
Chapter 114: Local estimates for plurisubharmonic functions
[Ce 1] U. C EGRELL, Pluricomplex energy, Acta Math. 180(1998), 187-217.
Chapter 115: Pluricomplex energy
[Ce 2] , Approximation of plurisubharmonic functions and the general definition of the com- plex Monge-Ampère operator, preprint, Umea University, 1999.
Chapter 116: Approximation of plurisubharmonic functions and the general definition of the complex Monge-Ampère operator
[Ch] E.M. C HIRCA, Complex Analytic Sets, Mathematics and its Applications, Kluwer Aca- demic Publishers, 1989.
Chapter 117: Complex Analytic Sets
[Cu-Dr-Lu] A. C UYT, K. D RIVER & D.S. L UBINSKY , On the size of lemniscates of polynomials in one and several variables, Proc. Amer. Math. Soc. 124-7(1996), 2123-2136.
Chapter 118: On the size of lemniscates of polynomials in one and several variables
[De 1] J.P. D EMAILLY, Mesures de Monge-Ampère et caractérisation des variétés algébriques affines, Mémoire de la SMF, nouvelle série 19(1985), 1-124.
Chapter 119: Mesures de Monge-Ampère et caractérisation des variétés algébriques affines
[De 2] , Mesures de Monge-Ampère et mesures pluriharmoniques, Math. Zeit. 194(1987), 519-564.
Chapter 120: Mesures de Monge-Ampère et mesures pluriharmoniques
[De 3] , Potential theory in several complex variables, Course at the ICPAM summer school on Complex Analysis, Nice, France, 1989.
Chapter 121: Potential theory in several complex variables
[De 4] , Monge-Ampère operators, Lelong numbers and intersection theory, in: Complex Analysis and Geometry, Univ. Series in Math., V. Ancona and A. Silva (eds.), New York, Plenum, 1993.
Chapter 122: Monge-Ampère operators, Lelong numbers and intersection theory
[Fa] C. FAVRE, Note on pull-back and Lelong number of currents, Bull. Soc. Math. de France, to appear.
Chapter 123: Note on pull-back and Lelong number of currents
[Fa-Gu] C. FAVRE & V. G UEDJ, Dynamique des applications rationnelles des espaces multiprojec- tifs, Prépublication de l’Université de Paris-Sud, 99-41, 1999.
Chapter 124: Dynamique des applications rationnelles des espaces multiprojectifs
[Ho 1] L. H ÖRMANDER, An Introduction to Complex Analysis in Several Variables, North Hol- land, Amsterdam, 3rd edition, 1990.
Chapter 125: An Introduction to Complex Analysis in Several Variables
[Ho 2] , Notions of Convexity, Progress in Mathematics, Birkhäuser, Boston, 1994.
Chapter 126: Notions of Convexity
[Ki 1] C.O. K ISELMAN, Densité des fonctions plurisousharmoniques, Bull. Soc. Math. de France, 107(1979), 295-304.
Chapter 127: Densité des fonctions plurisousharmoniques
[Ki 2] , Attenuating the singularities of plurisubharmonic functions, Ann. Polon. Math. 60(1994), 173-197.
Chapter 128: Attenuating the singularities of plurisubharmonic functions
[Ki 3] , Ensembles de sous-niveau et images inverses des fonctions plurisousharmoniques, Bull. Sci. Math. 2e série, to appear.
Chapter 129: Ensembles de sous-niveau et images inverses des fonctions plurisousharmoniques
[Kl] M. K LIMEK, Pluripotential Theory, Oxford University Press, London, 1991.
Chapter 130: Pluripotential Theory
[Ko] S. KOLODZIEJ, The complex Monge-Ampère equation, Acta Math. 180(1998), 69-117.
Chapter 206: The complex Monge-Ampère equation
[Le] P. L ELONG, Fonctions Plurisousharmoniques et Formes Différentielle Positives, Gordon et Breach, New-York and Dunod, Paris, 1969.
Chapter 131: Fonctions Plurisousharmoniques et Formes Différentielles Positives
[Pl] W. P LESNIAK, Characterization of quasi-analytic functions of several variables by means of rational approximation, Ann. Polon. Math. 27(1973), 149-157.
Chapter 132: Characterization of quasi-analytic functions of several variables by means of rational approximation
[Ru] W. R UDIN, Function Theory in the Unit Ball of Cn , Springer Verlag, New York, Heidel- gerg, Berlin, 1980.
Chapter 133: Function Theory in the Unit Ball of Cⁿ
[Sa] A. S ADULLAEV, An estimate for polynomials on analytic sets, Math. USSR Izvestiya 20(1983), 493-502.
Chapter 134: An estimate for polynomials on analytic sets
[Si 1] J. S ICIAK, Extremal plurisubharmonic functions in CN , Ann. Polon. Math. 39(1981), 175-211.
Chapter 135: Extremal plurisubharmonic functions in Cᴺ
[Si 2] , Extremal plurisubharmonic functions and capacities in CN , Sophia Kokyuroku in Math. Volume 14, Tokyo, 1982.
Chapter 136: Extremal plurisubharmonic functions and capacities in Cᴺ
[Sk] H. S KODA, Sous-ensembles analytiques d’ordre fini ou infini dans Cn , Bull. Soc. Math. de France 100(1972), 353-408.
Chapter 137: Sous-ensembles analytiques d’ordre fini ou infini dans Cⁿ
[Su] Y.T. S IU, Analyticity of sets associated to Lelong numbers and the extension of closed positive currents, Invent. Math. 27(1974), 53-156.
Chapter 138: Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
[Ts] M. T SUJI, Potential Theory in Modern Function Theory, Chelsea, New York, 1975.
Chapter 139: Potential Theory in Modern Function Theory
[Za] V.P. Z AHARIUTA, Extremal plurisubharmonic functions, orthogonal polynomials and Bernstein-Walsh theorem for analytic functions of several complex variables, Ann. Polon. Math. 33(1976), 137-148.
Chapter 140: Extremal plurisubharmonic functions, orthogonal polynomials and Bernstein-Walsh theorem for analytic functions of several complex variables
[Ze 1] A. Z ERIAHI, Fonction de Green pluricomplexe à pôle à l’infini sur un espace de Stein parabolique, Math. Scand. 69(1991), 89-126.
Chapter 141: Fonction de Green pluricomplexe à pôle à l’infini sur un espace de Stein parabolique
[Ze 2] , Pluricomplex Green functions and the Dirichlet problem for the complex Monge- Ampère operator, Michigan Math. J. 44(1997), 579-596.
Chapter 142: Pluricomplex Green functions and the Dirichlet problem for the complex Monge-Ampère operator
[Ze 3] , A criterion of algebraicity for Lelong classes and analytic sets, Acta Math. 184(2000), 113-143.
Chapter 143: A criterion of algebraicity for Lelong classes and analytic sets