Skip to main content
Log in

Extension ofA t-jets from holomorphic submanifolds

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Amar, E.: Cohomologie complexe et applications. J. Lond. Math. Soc.29, 127–140 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  2. Beatrous, F.:L p estimates for extensions of holomorphic functions. Mich. Math. J.32, 361–380 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  3. Berndtsson, B., Andersson, M.: Henkin-Ramirez Formulas with Weight Factors. Ann. Inst. Fourier32, 91–110 (1983)

    MathSciNet  Google Scholar 

  4. Bonneau, P., Cumenge, A., Zériahi, A.: Division dans les Espaces de Lipschitz de Fonctions Holomorphes. C. R. Acad. Sci., Paris297, 517–520 (1983)

    MATH  Google Scholar 

  5. Bruna, J., Burgués, J.M.: Holomorphic Approximation inC m-Norms on Totally Real Compact Sets in ℂn. Math. Ann.269, 103–117 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  6. Bruna, J., Ortega, J.M.: Interpolation by Holomorphic Functions Smooth to the Boundary in the Unit Ball of ℂn. Math. Ann.274, 527–575 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  7. Cumenge, A.: Extension dans les Classes de Hardy de Fonctions Holomorphes et Estimations de Type “Mesures de Carleson” pour l'Equation\(\bar \partial \). Ann. Inst. Fourier33(3), 59–97 (1983)

    MATH  MathSciNet  Google Scholar 

  8. Dautov, S.A., Henkin, G.M.: The zeroes of holomorphic functions of finite order and weight estimates for solutions of the\(\bar \partial \)-equation. Math. USSR Sb.35, 449–459 (1979)

    Article  MATH  Google Scholar 

  9. Elgueta, M.: Extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position andC up the boundary. Ill. J. Math.24, 1–17 (1980)

    MATH  MathSciNet  Google Scholar 

  10. Henkin, G.M.: Continuation of bounded functions from submanifolds in general position to strictly pseudoconvex domains. Math. USSR Izv.6, 540–567 (1972)

    Article  MathSciNet  Google Scholar 

  11. Hörmander, L.: An introduction to complex analysis in several variables. Princeton: van Nostram 1966

    MATH  Google Scholar 

  12. Jakóbczác, P.: On the Regularity of Extension to Strictly Pseudoconvex Domains of Functions Holomorphic in a Submanifold in General Position. Ann. Pol. Math.XLII, 115–124 (1983)

    Google Scholar 

  13. Lieb, I., Range, R.M.: On integral Representations and a priori Lipschitz Estimates for the Canonical Solution of the\(\bar \partial \)-Equation. Math. Ann.265, 221–251 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  14. Lieb, I., Range, R.M.: Integral representations and estimates in the theory of the\(\bar \partial \)-Neumann problem. Ann. Math.123, 265–301 (1986)

    Article  MathSciNet  Google Scholar 

  15. Lieb, I., Range, R.M.: Estimates for a Class of Integral Operators and Applications to the\(\bar \partial \)-Neumann Problem. Invent. Math.85, 415–438 (1986)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partially supported by the grant PB89-0311 of the DGICYT, Spain

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ortega, J.M., Fàbrega, J. Extension ofA t-jets from holomorphic submanifolds. Math Z 212, 637–656 (1993). https://doi.org/10.1007/BF02571682

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571682

Keywords

Navigation