References
Adachi, K.: Extending bounded holomorphic functions from certain subvarieties of a weakly pseudoconvex domain. Pac. J Math.110, 9–19 (1984)
Amar, E.: Extension de fonctions holomorphes et courants. Bull. Sci. Math. II. Ser.107, 25–48 (1983)
Beatrous, F.: Hölder estimates for the\(\bar \partial \) equation with a support condition. Pac. J. Math.90, 249–257 (1980)
Beatrous, F.:L p estimates for extensions of holomorphic functions. Michigan Math. J., to appear
Beatrous, F., Burbea, J.: Sobolev spaces of holomorphic functions. Preprint
Berndtsson, B.: A formula for interpolation and division in ℂn. Math. Ann.263 399–418 (1983)
Boas, H.: Sobolev space projections in strictly pseudoconvex domains. Trans Am. Math. Soc.288, 227–240 (1985)
Calderon, A.P.: Intermediate spaces and interpolation, the complex method Studia Math.24, 113–190 (1964)
Cumenge, A.: Extension dans des classes de Hardy de fonctions holomorphes et estimations de type “mesures de Carleson” pour l'equation δ. Ann. Inst. Fourier33, 59–97 (1983)
Flett, T.M.: On the rate of growth of mean values of holomorphic and harmonic functions. Proc. Lond. Math. Soc. (3)20, 749–768 (1970)
Folland, G.B., Stein, E.M.: Estimates for the\(\bar \partial _b \) complex and analysis on the Heisenberg group. Commun. Pure Appl. Math.27, 429–522 (1974)
Gluchoff, A.D.: The mean modulus of a Blaschke product. Complex Variables Theory Appl.1, 311–326 (1983)
Henkin, G.M.: Integral representations of functions holomorphic in strictly pseudoconvex domains and some applications. Math. USSR Sb.7, 597–616 (1969)
Henkin, G.M.: Continuation of bounded holomorphic functions from submanifolds in general position to strictly pseudoconvex domains. Math. USSR Izv.6, 536–563 (1972)
Henkin, G.M., Leiterer, J.: Global integral formulas for solving the\(\bar \partial \) on Stein manifolds. Ann. Pol. Math.39, 117–130 (1981)
Henkin, G.M., Leiterer, J.: Theory of Functions on Complex Manifolds. Basel-Boston-Stuttgart: Birkhäuser 1984
Littlewood, J.E., Paley, R.E.A.C.: Theorems on Fourier series and power series (II). Proc. Lond. Math. Soc.42, 52–89 (1936)
Phong, D.H., Stein, E.M.: Estimates for the Bergman and Szegö projections on strongly pseudoconvex domains. Duke Math. J.44, 695–704 (1977)
Ramirez de A. E.: Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis. Math. Ann.184, 172–187 (1970)
Stein, E.M.: Boundary Behavior of Holomorphic Functions of Several Complex Variables. Princeton Univ. Press, 1972
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Beatrous, F. Estimates for derivatives of holomorphic functions in pseudoconvex domains. Math Z 191, 91–116 (1986). https://doi.org/10.1007/BF01163612
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01163612