Abstract
The homotopy formulas of (r, s) differential forms and the solution of\(\bar \partial \)-equation of type (r, s) on localq-convex domains in Stein manifolds are obtained. The homotopy formulas on localq-convex domains have important applications in uniform estimates of\(\bar \partial \)-equation and holomorphic extension of CR-manifolds.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Henkin, G. M., Leiterer, J.,Theory of Functions on Compler Manifolds, Berlin: Akademie-Verlag Berlin and Birkhauser-Verlag Boston, 1984.
Demaily, J. P., Laurent-Thiebaut, C., Formules intégrales pour les formes différentielles de type (p, q) dans les varietés de Stein,Ann Sci E’cole Norm. Sup., 1987, 20(4):579.
Zhong Tongde, Koppelman-Leray-Norguet formula on complex manifolds and applications,Chinese Journal of Contemporary Mathematics, 1995, 16(3): 235.
Zhong Tongde, Huang Sha,Complex Analysis in Several Variables (in Chinese), Shijiazhuang: Hebei Educational Press, 1990.
Laurent-Thiebaut, C., Leiterer, J., Uniform estimates for the Cauchy-Riemann equation on q-convex wedges,Ann. Inst. Fourier (Grenoble), 1993, 43(2):383.
Zhong Tongde,\(\bar \partial \)-equation on complex manifolds,J. Math., 1997. 17 (1): 15.
Author information
Authors and Affiliations
Additional information
Project supported by the National Natural Science Foundation of China
Rights and permissions
About this article
Cite this article
Zhong, T. Homotopy formulas and\(\bar \partial \)-equation on localq-convex domains in Stein manifolds-equation on localq-convex domains in Stein manifolds. Sci. China Ser. A-Math. 40, 817–824 (1997). https://doi.org/10.1007/BF02878921
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02878921