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Finitely generated ideals in \(A(\Omega)\). (English) Zbl 0489.32013


MSC:

32W05 \(\overline\partial\) and \(\overline\partial\)-Neumann operators
32U05 Plurisubharmonic functions and generalizations
32A38 Algebras of holomorphic functions of several complex variables
32C05 Real-analytic manifolds, real-analytic spaces
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References:

[1] [1] , Hölder estimates for the Z-equation with a support condition, Pacific J. Math., 90 (1980), 249-257. · Zbl 0453.32006
[2] [2] and , Pseudoconvex domains : Existence of Stein neighbourhoods, Duke J. Math., 44 (1977), 641-662. · Zbl 0381.32014
[3] [3] and , The Mergelyan property for weakly pseudoconvex domains, Manuscripta Math., 22 (1977), 199-208. · Zbl 0391.32010
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[5] [5] , Approximation of functions in pseudoconvex domains and Leibenzon’s theorem, Bull. Acad. Pol. Sci. Ser. Math. Astron. et Phys., 19 (1971), 37-42. · Zbl 0214.33701
[6] [6] and , Finitely generated ideals in certain function algebras, J. Funct. Anal., 7 (1971), 212-215. · Zbl 0211.43902
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[8] [8] and , A pseudoconvex domain not admitting a holomorphic support function, Math. Ann., 201 (1973), 265-268. · Zbl 0248.32013
[9] [9] , Die Cauchy-Riemannschen Differentialgleichung auf streng pseudokonveksen Gebieten : Stetige Randwerte, Math. Ann., 199 (1972), 241-256. · Zbl 0231.35055
[10] [10] , Triangulation of semi-analytic sets, Ann. Scuola Norm. Sup. Pisa, 19 (1965), 449-474. · Zbl 0128.17101
[11] [11] , Øn Hölder estimates for Zu = f on weakly pseudoconvex domains, Cortona Proceedings, Cortona, 1976-1977, 247-267. · Zbl 0421.32021
[12] [12] , Generators of the maximal ideals of A (D), Pac. J. Math., 39 (1971), 219-233. · Zbl 0231.46090
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