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Integral representations on weakly pseudoconvex domains

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References

  1. Aizenberg, L.A., Dautov, Sh.A.: Differential Forms Orthogonal to Holomorphic Functions or Forms and Their Properties. Providence: Am. Math. Soc. 1983

    MATH  Google Scholar 

  2. Chaumat, J., Chollet, A.-M.: Noyaux pour résoudre l'équation\(\bar \partial \) dans des classes ultradifférentiables sur des compacts irregulieres de Cn. (Preprint)

  3. Chaumat, J., Chollett A.-M.: Noyaux pour résoudre l'équation,\(\bar \partial \) dans des classes indéfiniment differentiables. (Preprint)

  4. Chaumat, J., Chollet, A.-M.: Classes de Gevrey non isotropes et application a l'interpolation. Ann. Sc. Norm. Super. Pisa Cl. Sci., IV. Ser.15, 615–676 (1989)

    MathSciNet  Google Scholar 

  5. Diedrich, K., Fornaess, J.E.: Pseudoconvex domains: an example with non trivial Nebenhuelle. Math. Ann.255, 275–292 (1977)

    Article  Google Scholar 

  6. Diederich, K., Ohsawa, T.: On the Parameter Dependence of solutions to the\(\bar \partial \)-equation, RIMS-708, July 1990

  7. Folland, G.B., Kohn, J.J.: The Neumann Problem for the Cauchy-Riemann Complex. (Ann. Math. Stud., vol. 75) Princeton, N.J.: Princeton University Press 1972

    MATH  Google Scholar 

  8. Hörmander, L.:L 2-estimates and existence theorems for the\(\bar \partial \) operator. Acta Math.113, 89–152 (1965)

    Article  MATH  MathSciNet  Google Scholar 

  9. Kohn, J.J.: Global regularity for\(\bar \partial \) on weakly pseudoconvex manifolds. Trans. Am. Math. Soc.181, 273–292 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  10. Kohn, J.J.: Methods of partial differential equations in complex analysis. (Proc. Symp. Pure Math., vol. 30, pp. 215–236) Providence, RI: Am. Math. Soc. 1977

    Google Scholar 

  11. Kohn, J.J., Nirenberg, L.: Non-coercive boundary value problems. Commun. Pure Appl. Math.18, 443–492 (1965)

    MATH  MathSciNet  Google Scholar 

  12. Kohn, J.J., Nirenberg, L.: A pseudoconvex domain not admitting a holomorphic support function. Math. Ann.201, 265–268 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  13. Lieb, I., Range, R.M.: Lösungsoperatoren für den Cauchy-Riemann Komplex mitC k-Abschätzungen. Math. Ann.253, 145–164 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  14. Michel, J., Perotti, A.:C k-Regularity for the\(\bar \partial \)-equation on Strictly Pseudoconvex Domain with Piecewise Smooth Boundaries. Math. Z.203, 414–427 (1990)

    MathSciNet  Google Scholar 

  15. Peters, K.: Lösungsoperatoren für die\(\bar \partial \)-Gleichung auf nichttransversalen Durchschnitten von streng pseudokonvexen Gebieten. Dissertation A, Berlin 1990

  16. Range, R.M.: Integral kernels and Hölder estimates for\(\bar \partial \)-Gleichung on pseudoconvex domains of finite type in C2. (Preprint)

  17. Skoda, H.: Application de techniquesL 2 a la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids. Ann. Sci. Éc. Norm. Supér.5, 545–579 (1972)

    MATH  MathSciNet  Google Scholar 

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Michel, J. Integral representations on weakly pseudoconvex domains. Math Z 208, 437–462 (1991). https://doi.org/10.1007/BF02571538

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