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Viêt Anh Nguyên; El Hassan Youssfi
Optimal Lipschitz estimates for the $\overline{\partial }$ equation on a class of convex domains
Annales 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

Bibliography

[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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