Hölder Type Estimates for the ∂ ¯-equation in Strongly Pseudoconvex Domains
Ahn, Heungju ; Cho, Hong Rae ; Park, Jong-Do
Rendiconti del Seminario Matematico della Università di Padova, Tome 120 (2008), p. 127-138 / Harvested from Numdam
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Publié le : 2008-01-01
@article{RSMUP_2008__120__127_0,
     author = {Ahn, Heungju and Cho, Hong Rae and Park, Jong-Do},
     title = {H\"older Type Estimates for the $\overline{\partial }$-equation in Strongly Pseudoconvex Domains},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {120},
     year = {2008},
     pages = {127-138},
     mrnumber = {2492653},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_2008__120__127_0}
}

Ahn, Heungju; Cho, Hong Rae; Park, Jong-Do. Hölder Type Estimates for the $\overline{\partial }$-equation in Strongly Pseudoconvex Domains. Rendiconti del Seminario Matematico della Università di Padova, Tome 120 (2008) pp. 127-138. http://gdmltest.u-ga.fr/item/RSMUP_2008__120__127_0/

[CS01] So-Chin Chen - Mei-Chi Shaw, Partial differential equations in several complex variables, AMS/IP Studies in Advanced Mathematics, vol. 19, American Mathematical Society, Providence, RI, 2001. | MR 1800297 | Zbl 0963.32001

[Dya97] K.M. Dyakonov, Equivalent norms on Lipschitz-type spaces of holomorphic functions, Acta Math. 178, no. 2 (1997), pp. 143-167. | MR 1459259 | Zbl 0898.30040

[For76] J.E. Fornaess, Embedding strictly pseudoconvex domains in convex domains, Amer. J. Math. 98, no. 2 (1976), pp. 529-569. | MR 422683 | Zbl 0334.32020

[HL84] G. Henkin - J. Leiterer, Theory of functions on complex manifolds, Monographs in Mathematics, vol. 79, Birkhäuser Verlag, Basel, 1984. | MR 795028 | Zbl 0573.32001

[LR80] I. Lieb - R.M. Range, Lösungsoperatoren für den Cauchy-RiemannKomplex mit Ck -A bschätzungen, Math. Ann. 253, no. 2 (1980), pp. 145-164. | MR 597825 | Zbl 0441.32007

[Pav04] M. Pavlović, Introduction to function spaces on the disk, Posebna Izdanja [Special Editions], vol. 20, MatematicÏki Institut SANU, Belgrade, 2004. | MR 2109650 | Zbl 1107.30001

[Ran86] M. Range, Holomorphic functions and integral representations in several complex variables, Springer Verlag, Berlin, 1986. | MR 847923 | Zbl 0591.32002

[Ran92] R.M. Range, On Hölder and BMO estimates for ∂ ¯ on convex domains in C2, Jour. Geom. Anal. 2 (1992), pp. 575-584. | MR 1189045 | Zbl 0768.32013

[RH71] A.V. Romanov - G.M. Henkin, Exact Hölder estimates of the solutions of the ∂ ¯-equation, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), pp. 1171-1183. | MR 293121 | Zbl 0218.35069