Cumenge, Anne Extension dans des classes de Hardy de fonctions holomorphes et estimations de type ”Mesures de Carleson” pour l’équation \(\bar\partial\). (French) Zbl 0487.32011 Ann. Inst. Fourier 33, No. 3, 59-97 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 19 Documents MSC: 32D15 Continuation of analytic objects in several complex variables 32A35 \(H^p\)-spaces, Nevanlinna spaces of functions in several complex variables 32W05 \(\overline\partial\) and \(\overline\partial\)-Neumann operators 32T99 Pseudoconvex domains Keywords:bounded strictly pseudo-convex domain; extension of holomorphic function; Hardy class; delta-equation × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML References: [1] [1] , Extension de fonctions holomorphes et courants, à paraître dans Bull. Sciences Math., (1982). · Zbl 0543.32007 [2] [2] et , Mesures de Carleson d’ordre α et solutions au bord de l’équation ∂, Bull. Soc. Math. France, 107 (1979), 23-48. · Zbl 0409.46035 [3] [3] and , Henkin-Ramirez formulas with weight factors, Ann. Inst. Fourier, Grenoble 32-3 (1982), 91-110. · Zbl 0466.32001 [4] [4] , Holomorphic functions with values in locally convex spaces and applications to integral formulas, Trans. Amer. Math. Sc., 111 (1964), 317-344. · Zbl 0142.33902 [5] [5] , Formules explicites pour les solutions minimales de l’équation ∂u = f dans la boule et le polydisque, Ann. Inst. Fourier, Grenoble, 30-4 (1980), 121-154. · Zbl 0425.32009 [6] [6] , Thèse 3ème cycle. Toulouse (1980). [7] [7] and , Zeros of holomorphic functions of finite ordre and weighted estimates for solutions of ∂-equation, Math. USSR Sbornik, Vol. 35 N° 4 (1979). · Zbl 0421.32001 [8] [8] , Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math., 98 (1976). · Zbl 0334.32020 [9] [9] , Continuation of bounded functions from submanifolds in general position to strictly pseudo-convex domains, Math. USSR. Izv., 6, n° 3 (1972), 356-563. · Zbl 0255.32008 [10] [10] and , Theory of functions on strictly pseudoconvex sets with non-smooth boundary, Preprint. · Zbl 0497.32015 [11] [11] , Lp-estimates for (pluri) - subharmonic functions, Math. Scand., 20 (1967), 65-78. · Zbl 0156.12201 [12] [12] , An introduction to complex analysis in several variables, van Nostrand, Princeton, 1966. · Zbl 0138.06203 [13] [13] , Hölder and Lp-estimates for solutions of ∂u = f in strongly pseudo-convex domains, Commun. Pure Appl. Math., 24 (1971), 301-379. · Zbl 0217.13202 [14] [14] , Valeurs au bord pour les solutions de l’opérateur \(d``\) et caractérisation des zéros des fonctions de la classe de Nevanlinna, Bull. Soc. Math. Fr., 104 (1976), 225-299. · Zbl 0351.31007 [15] [15] , Boundary behaviour of holomorphic functions of several complex variables, Mathematical Notes, Princeton, Princeton University Press, 1972. · Zbl 0242.32005 [16] [16] , Hp-functions on strictly pseudo-convex domains, Amer. J. Math., 98 n° 3, 821-852. · Zbl 0341.32013 [17] [17] , BMO functions and the ∂ equation, Pacific J. Math., t. 71 (1977), 221-273. · Zbl 0371.35035 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.