Holomorphic Lipschitz functions and application to the $\οv{∂}$-problem

• Autorzy: Der-Chen E. Chang , Steven G. Krantz
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1991
• Tom: 62
• Numer: 2
• Strony: 227-256

Daty

wydano

1991

otrzymano

1989-11-30

poprawiono

1990-05-22

Twórcy

autor

Der-Chen E. Chang

• Department of Mathematics, University of Maryland, College Park, Maryland 20742, U.S.A.

autor

Steven G. Krantz

• Department of Mathematics, Washington University, St. Louis, Missouri 63130, U.S.A.

Bibliografia

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• [2] J. Belanger, Hölder estimates for $\ov{∂}$ in $ℂ^2$, Ph.D. dissertation, Princeton University, 1987.
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• [4] D. Catlin, Estimates of invariant metrics on pseudoconvex domains of dimension two, Math. Z. 200 (1989), 429-466.
• [5] D.-C. Chang, An application of Ricci-Stein Theorem to estimates of the C-R equations, in: Analysis and PDE, C. Sadosky (ed.), Dekker, 1990, 51-84.
• [6] M. Christ, Regularity properties of the $\ov{∂}_b$ equation on weakly pseudoconvex CR manifolds of dimension 3, J. Amer. Math. Soc. 1 (1988), 587-646.
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• [17] S. G. Krantz, Characterization of various domains of holomorphy via $\ov{∂}$-estimates and application to a problem of Kohn, Illinois J. Math. 23 (1979), 267-285.
• [18] S. G. Krantz and D. Ma, Bloch functions on strongly pseudoconvex domains, Indiana Univ. Math. J. 37 (1988), 145-163.
• [19] A. Nagel, E. M. Stein and S. Wainger, Boundary behavior of functions holomorphic in domains of finite type, Proc. Nat. Acad. Sci. U.S.A. 78 (1981), 6596-6599.
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• [22] E. M. Stein, Singular integrals and estimates for the Cauchy-Riemann equations, Bull. Amer. Math. Soc. 79 (1973), 440-445.