References
[Ba1]Barrett, D., Irregularity of the Bergman projection on a smooth bounded domain in C2.Ann. of Math., 119 (1984), 431–436.
[Ba2]—, Biholomorphic domains with inequivalent boundaries.Invent. Math., 86 (1986). 373–377.
[BF]Barrett, D. &Forness, J. E., Uniform approximation of holomorphic functions on bounded Hartogs domains in C2.Math. Z., 191 (1986), 61–72.
[Be]Bell, S., Biholomorphic mappings and the\(\bar \partial \)-problem.Ann. of Math., 114 (1981), 103–113.
[BL]Bell, S. &Ligocka, E., A simplication and extension of Fefferman’s theorems on biholomorphic mappings.Invet. Math., 57 (1980), 2383–289.
[BSt1]Boas, H. & Straube, E., Sobolev estimates for the\(\bar \partial \)-Neumann operator on domains in Cn admitting a defining function that is plurisubharmonic on the boundary. Preprint.
[BSt2]— Equivalence of regularity for the Bergman projection and the\(\bar \partial \)-Neumann operator.Manuscripta Math., 67 (1990) 25–33.
[BSt3]Boas, H., The Bergman projection on Hartogs domains in C2. Preprint.
[Ca]Catlin, D., Global regularity of the\(\bar \partial \)-Neumann problem.Proc. Sympos. Pure Math., 41 (1984), 39–49.
[Ch]Chen, So-Chin, Global regularity of the\(\bar \partial \)-Neumann problem in dimension two. Preprint.
[DF]Diederich, K. &Fornaess, J. E., Pseudoconvex domains: an example with nontrivial Nebenhulle.Math. Ann., 225 (1977), 275–292.
[FK]Folland, G. & Kohn, J. J.,The Neumann Problem for the Cauchy-Riemann Complex. Ann of Math. Studies, no. 75. Princeton Univ. Press, 1972.
[Ki]Kiselman, C., A study of the Bergman projection in certain Hartogs domains. Preprint.
[Ko1]Kohn, J. J., Global regularity for\(\bar \partial \) on weakly pseudoconvex manifolds.Trans. Amer. Math. Soc., 181 (1973), 273–292.
[Ko2]—, Subellipticity of the\(\bar \partial \)-Neumann problem on pseudoconvex domains: sufficient conditions.Acta Math., 142 (1979), 79–122.
[Li]Ligocka, E., Estimates in Sobolev norms ∥·∥ s p for harmonic and holomorphic functions and interpolation between Sobolev and Hölder spaces of harmonic functions.Studia Math., 86 (1987), 255–271.
[Si]Sibony, N., Une classe de domaines pseudoconvexes.Duke Math. J., 55 (1987), 299–319.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Barrett, D.E. Behavior of the Bergman projection on the Diederich-Fornæss worm. Acta Math 168, 1–10 (1992). https://doi.org/10.1007/BF02392975
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02392975