Table of contents for this issue | Previous article | Next article Viêt Anh Nguyên; El Hassan YoussfiOptimal Lipschitz estimates for the $\overline{\partial }$ equation on a class of convex domainsAnnales de la faculté des sciences de Toulouse Sér. 6, 12 no. 2 ( 2003), p. 179-243, doi: 10.5802/afst.1047
Article PDF | Reviews MR 2123255
[1] Berndtsson ( B. ). — A formula for interpolation and division in Cn, Math. Ann. 263, p. 399-418 (1983). Article | MR 707239 | Zbl 0499.32013 [2] Bonami (A. ) and Charpentier (P.). - Solutions de l'équation ∂ et zéros de la classe de Nevanlinna dans certains domaines faiblement pseudo-convexes , Ann. Inst. Fourier. 32(4), p. 53-89 (1982). Cedram | MR 694128 | Zbl 0493.32005 [3] Charpentier ( P.). - Formules explicites pour les solutions minimales de l'équation ∂u = f dans la boule et dans le polydisque de Cn, Ann. Inst. Fourier. 30(4), p. 121-154 (1980). Cedram | MR 599627 | Zbl 0425.32009 [4] Chen (Z.) , Krantz ( S.G.) and Ma (D.). — Optimal Lp estimates for the ∂ equation on complex ellipsoids in Cn, Manuscripta math. 80, p. 131-149 (1993). Article | MR 1233477 | Zbl 0789.32011 [5] Cumenge (A. ). — Estimées Lipschitz optimales dans les convexes de type fini, C. R. Acad. Sci. Paris 325, p. 1077-1080 (1997). MR 1614008 | Zbl 0904.32013 [6] Cumenge (A. ).— Sharp estimates for ∂ on convex domains of finite type, Ark. Mat. 39, p. 1-25 (2001). MR 1807801 | Zbl 1028.35115 [7] Diederich ( K.), Fischer (B.) and Fornæss (J.E.). - Hõlder estimates on convex domains of finite type, Math. Z. 232, p. 43-61 (1999). Zbl 0932.32008 [8] Fischer (B. ) . - Lp estimates on convex domains of finite type, Math. Z. 236, p. 401-418 (2001). MR 1815835 | Zbl 0984.32022 [9] Greiner (P. ) and Stein (E.). - "Estimates for the ∂-Neumann problem", Mathematical Notes 19, Princeton University Press, (1977 ). MR 499319 | Zbl 0354.35002 [10] Hefer (T. ).— Hõlder and LP estimates for ∂ on convex domains of finite type depending on Catlin's multitype, Math. Z. 242, p. 367-398 (2002). Zbl 1048.32024 [11] Krantz (S.G. ). — Optimal Lipschitz and LP regularity for the equation ∂u = f on strongly pseudo-convex domains, Math. Annalen. 219, p. 233-260 (1976). MR 397020 | Zbl 0303.35059 [12] Krantz (S.G. ). — Estimates for integral kernels of mixed type, fractional integration operators, and optimal estimates for the ∂ operator, Manuscripta math. 30, p. 21-52 (1979). MR 552362 | Zbl 0417.35057 [13] Krantz (S.G. ). — Characterizations of various domains of holomorphy via ∂ estimates and applications to a problem of Kohn, Illinois. Journal Math. 23(2), p. 267-285 (1979). Article | MR 528563 | Zbl 0394.32009 [14] Lelong (P. ) and Gruman (L.). - "Entire functions of several complex variables", Grundlehren der Mathematischen Wissenschaften 282, Springer-Verlag, (1986). MR 837659 | Zbl 0583.32001 [15] Mengotti ( G.) and Youssfi (E.H.). - The weighted Bergman projection and related theory on the minimal ball, Bull. Sci. math. 123, p. 501-525 (1999). MR 1713302 | Zbl 0956.32006 [16] Rudin (W. ). - "Function theory in the unit ball of Cn ", Grundlehren der Mathematischen Wissenschaften 241, Springer-Verlag, New York-Berlin, 1980. MR 601594 | Zbl 0495.32001 [17] Viêt Anh ( N.).— Fatou and Korányi-Vági type theorems on the minimal balls, Publ. Mat. 46, 49-75 (2002). MR 1904856 | Zbl 1013.32006 [18] Viêt Anh ( N.) and Youssfi (E.H.). - Lipschitz estimates for the ∂-equation on the minimal ball, Michigan Math. J. 49, p. 299-323 (2001). Article | MR 1852305 | Zbl 1011.32026 [19] Viêt Anh ( N.) and Youssfi (E.H.). - Estimations Lipschitziennes optimales pour l'équation ∂ dans une classe de domaines convexes, C. R. Acad. Sci. Paris t. 332, Série I, p. 1065-1070 (2001). MR 1847481 | Zbl 0997.32037 [20] Youssfi ( E.H.). — Proper holomorphic liftings and new formulas for the Bergman and Szegõ kernels, Stud. Math. 152, 161-186 (2002). Zbl 1013.32003
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