Resumo
Pri la difino de la kompleksa operatoro de Monge-Ampère. En la artikolo estas traktitaj ebloj difini la kompleksan operatoron de Monge-Ampère agantan sur ajna plursubharmona funkcio. Tiu operatoro facile interpretiğas en la kadro de la pliğeneraligitaj funkcioj de Colombeau, kaj oni ligas tiun ĉi difinon al la difino de Bedford kaj Taylor. Estas difinita nova mazuro de Monge-Ampère de ajna plursubharmona funkcio, portita de ties finia grafiko kaj ĉie havanta loke finian mason. Ĝia rekta bildo sur la argumentaro (ne nepre de loke finia maso) pliğeneraligas la difinon de Bedford kaj Taylor.
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Bibliographie
Aleksandrov, A.D. 1955 Die innere Geometrie der konvexen Flächen. Berlin, Akademie-Verlag.
Bedford, Eric, & Taylor, B.A. 1982 A new capacity for plurisubharmonic functions. Acta Math. 149, 1–40.
Cegrell, Urban 1981 An estimate of the complex Monge-Ampère operator. Manuscrit, 5p., Université d'Uppsala.
Colombeau, Jean-François 1983 Une multiplication générale des distributions. C. R. Acad. Sci. Paris Sér. I Math. 296, 357–360.
1983a A multiplication of distributions. J. Math. Anal. Appl. 94, 96–115.
Rauch, Jeffrey, & Taylor, B.A. 1977 The Dirichlet problem for the multidimensional Monge-Ampère equation. Rocky Mountain J. Math. 7, 345–364.
Siu, Yum-Tong 1975 Extension of meromorphic maps into Kähler manifolds. Ann. of Math. 102, 421–462.
Taylor, B.A. 1983 Communication personnelle.
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© 1984 Springer-Verlag
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Kiselman, C.O. (1984). Sur la définition de l'opérateur de Monge-Ampère complexe. In: Amar, E., Gay, R., Van Thanh, N. (eds) Analyse Complexe. Lecture Notes in Mathematics, vol 1094. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099158
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DOI: https://doi.org/10.1007/BFb0099158
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