@article{BSMF_1998__126_2_245_0,
author = {Andersson, Mats and Boo, J\"orgen and Ortega-Cerd\`a, Joaquim},
title = {Canonical homotopy operators for the $\overline{\partial }$ complex in strictly pseudoconvex domains},
journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
volume = {126},
year = {1998},
pages = {245-271},
doi = {10.24033/bsmf.2326},
mrnumber = {2000a:32005},
zbl = {0930.32005},
language = {en},
url = {http://dml.mathdoc.fr/item/BSMF_1998__126_2_245_0}
}
Andersson, Mats; Boo, Jörgen; Ortega-Cerdà, Joaquim. Canonical homotopy operators for the $\overline{\partial }$ complex in strictly pseudoconvex domains. Bulletin de la Société Mathématique de France, Tome 126 (1998) pp. 245-271. doi : 10.24033/bsmf.2326. http://gdmltest.u-ga.fr/item/BSMF_1998__126_2_245_0/
[1] . - Extension de fonctions holomorphes et courants, Bull. Sc. Math., 2e série, t. 107, 1983, p. 25-48. | MR 699989 | MR 85c:32025 | Zbl 0543.32007
[2] . - Formulas for the L2 minimal solutions of the ∂∂-equation in the unit ball of ℂn, Math. Scand., t. 56, 1985, p. 43-69. | MR 807503 | MR 87d:32036 | Zbl 0591.32004
[3] . - Values in the interior of the L2-minimal solutions of the ∂∂-equation in the unit ball of ℂn, Pub. Mat., t. 32, 1988, p. 179-189. | MR 975897 | MR 90c:32028 | Zbl 0667.32014
[4] , . - Canonical homotopy operators for the ∂ complex in strictly pseudoconvex domains. - Preprint Göteborg, 1996. | Zbl 0930.32005
[5] , . - Approximate formulas for canonical homotopy operators for ∂ in strictly pseudoconvex domains. - Preprint Göteborg, 1997. | Zbl 1026.32006
[6] , . - Canonical homotopy operators for ∂ in the ball with respect to the Bergman metric. - Preprint Göteborg, 1995.
[7] . - Integral formulas for the ∂∂ equation and zeros of bounded holomorphic functions in the unit ball, Math. Ann., t. 249, 1980, p. 163-176. | MR 578723 | MR 81m:32012 | Zbl 0414.31007
[8] . - L2 Methods for the ∂ Equation. - KASS Univ. Press, Göteborg, 1995.
[9] , . - Henkin-Ramirez formulas with weight factors, Ann. Inst. Fourier, t. 32, 3, 1982, p. 91-110. | Numdam | MR 688022 | MR 84j:32003 | Zbl 0466.32001
[10] . - Nucleos de Cauchy en dominios estrictamente pseudoconvexos y operadores integrales que invierten la ecuación ∂. - Contribuciones matématicas en honor a Luis Vigil, Universidad de Zaragoza, 1984.
[11] . - Formules explicites pour les solutions minimales de l'équation ∂u = f dans la boule et dans le polydisque de ℂn, Ann. Inst. Fourier, t. 30, 1980, p. 121-154. | Numdam | MR 599627 | MR 82j:32009 | Zbl 0425.32009
[12] , . - L2 cohomology and index theorems for the Bergman metric, Ann. Math., t. 118, 1983. | MR 727705 | Zbl 0532.58027
[13] , . - The Neumann Problem for the Cauchy-Riemann Complex, Annals of Mathematics Studies, t. 75, 1972. | MR 461588 | MR 57 #1573 | Zbl 0247.35093
[14] , . - Principles of Algebraic Geometry. - Wiley Interscience, 1978. | MR 507725 | MR 80b:14001 | Zbl 0408.14001
[15] , . - Tables of integrals, series, and products. - Academic Press, 1980. | MR 81g:33001 | Zbl 0521.33001
[16] , . - The ∂-Neumann solution to the inhomogeneous Cauchy-Riemann equation in the ball in ℂn, Trans. Amer. Math. Soc., t. 281, 1984, p. 587-613. | MR 722764 | MR 85e:32006 | Zbl 0552.32018
[17] , . - The Szegö kernel in terms of Cauchy-Fantappiè kernels, Duke Math. J., t. 45, 1978, p. 197-224. | MR 508154 | MR 58 #22676 | Zbl 0387.32009
[18] . - The Hölder continuity of the Bergman projection and proper holomorphic mappings, Studia Math., t. 80, 1984, p. 89-107. | MR 781328 | MR 86e:32030 | Zbl 0566.32017
[19] . - Solutions with estimates of the H. Levy and Poincaré-Lelong equations. Constructions of the functions of the Nevanlinna class with prescribed zeros in strictly pseudoconvex domains, Dokl. Akad. Nauk. SSR, t. 224, 1975, p. 3-13. | MR 57 #6511 | Zbl 0333.35056
[20] . - Function Theory in the Unit Ball of ℂn. - Springer-Verlag, 1980. | MR 601594 | MR 82i:32002 | Zbl 0495.32001
[21] . - Valeurs au bord pour les solutions de l'opérateur d" et caractérisation de zéros des fonctions de la classe de Nevanlinna, Bull. Soc. Math. France, t. 104, 1976, p. 225-299. | Numdam | MR 450620 | MR 56 #8913 | Zbl 0351.31007