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Right inverse operators for the Bergman projection and biholomorphic mappings on Gevrey bounded domains

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References

  1. D. E. Barrett, Regularity of the Bergman projection on domains with transverse symmetries. Math. Ann.258, 441–446 (1982).

    Google Scholar 

  2. S. R. Bell, Biholomorphic mappings and the\(\bar \partial\)-problem. Ann. Math.114, 103–113 (1981).

    Google Scholar 

  3. S. R. Bell, Analytic hypoellipticity of the\(\bar \partial\)-Neumann problem and extendability of holomorphic mappings. Acta Math.147, 109–116 (1981).

    Google Scholar 

  4. S. R. Bell, A representation theorem in strictly pseudoconvex domains. Illinois J. Math.26, 19–26 (1982).

    Google Scholar 

  5. J. Bruna, An extension theorem of Whitney type for non quasianalytic classes of functions. J. London Math. Soc.22, 495–505 (1980).

    Google Scholar 

  6. M. Derridj, Gevrey regularity up to the boundary for the\(\bar \partial\) Neumann problem. Proc. Sympos. Pure Math.30 (1), 123–126 (1977).

    Google Scholar 

  7. M. Derridj etD. S. Tartakoff, Sur la régularité locale des solutions du problème de Neumann pour\(\bar \partial\). LNM578, 207–216, Berlin 1977.

    Google Scholar 

  8. K.Diederich and I.Lieb, Konvexität in der komplexen Analysis. DMV-Seminar2. Basel, Boston, Stuttgart 1981.

  9. B. Droste, Holomorphic approximation of ultradifferentiable functions. Math. Ann.257, 293–316 (1981).

    Google Scholar 

  10. C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math.26, 1–65 (1974).

    Google Scholar 

  11. L.Hörmander, The analysis of linear partial differential operators I. Grundlehren256, Berlin-Heidelberg-New York-Tokyo 1983.

  12. J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds, I and II. Ann. Math.78, 112–148 (1963) and79, 450–472 (1964).

    Google Scholar 

  13. H. Komatsu, Ultradistributions I. Structure theorems and a characterization. J. Fac. Sci. Univ. Tokyo, Sect. IA20, 25–105 (1973).

    Google Scholar 

  14. H. Komatsu, Ultradistributions II. The kernel theorem and ultradistributions with support in a submanifold. J. Fac. Sci. Univ. Tokyo, Sect. IA24, 607–628 (1977).

    Google Scholar 

  15. A. Lambert, Quelques théorèmes de decomposition des ultradistributions. Ann. Inst. Fourier29, 3, 57–100 (1979).

    Google Scholar 

  16. D. S. Tartakoff, Gevrey hypoellipticity for subelliptic boundary value problems. Comm. Pure Appl. Math.26, 251–312 (1973).

    Google Scholar 

  17. P. Zorn, Analytic functionals and Bergman spaces. Ann. Scuola Norm. Sup. Pisa9, 365–404 (1982).

    Google Scholar 

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  1. Bernd Droste

    Present address: Technisch/Wissenschaftliches Zentrum, IBM Deutschland, Pascalstraße 100, D-7000, Stuttgart 80

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    Droste, B. Right inverse operators for the Bergman projection and biholomorphic mappings on Gevrey bounded domains. Arch. Math 43, 57–65 (1984). https://doi.org/10.1007/BF01193612

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