Positivity conditions for bihomogeneous polynomials

Mathematical Research Letters

Volumn 4, Issue 4, 1997, Pages 555-567

  Catlin, David W ^a   D'Angelo, John P ^b  

^a PURDUE UNIVERSITY   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031287702     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1997.v4.n4.a11     Document Type: Article

References (11)

1. [C1] D. Catlin, Subelliptic estimates for the ∂̄-Neumann problem on pseudoconvex domains, Ann. of Math. 126 (1987), 131-191.
2. [C2] _, Necessary conditions for subellipticity of the ∂̄-Neumann problem, Ann. of Math. 117 (1983), 147-171.
3. [CD] D. Catlin and J. P. D'Angelo, A stabilization theorem for Hermitian forms and applications to holomorphic mappings, Math Res. Lett. 3 (1996), 149-166.
4. [D] J. P. D'Angelo, Several complex variables and the geometry of real hypersurfaces (1993), CRC Press, Boca Raton.
5. 2 vanishing theorems for positive line bundles and adjunction theory, CIME Session, Transcendental Methods in Algebraic Geometry, Cetraro Italy, (1994).
6. [FK] G. B. Folland and J. J. Kohn, The Neumann problem for the Cauchy-Riemann complex, Ann. of Math Studies, 75, Princeton University Press, 1972.
7. [HI] G. M. Henkin and A. Iordan, Compactness of the Neumann operator for hyperconvex domains with non-smooth boundaries, Math. Ann. 307 (1997), 151-169.
8. [Ke] N. Kerzman, The Bergman kernel: Differentiability at the boundary, Math Annalen 195 (1972), 149-158.
9. [K] J. J. Kohn, Subellipticity of the ∂̄-Neumann problem on pseudoconvex domains: Sufficient conditions, Acta Math 142 (1979), 79-122.
10. [Ru] W. Rudin, Functional analysis (1973), McGraw-Hill, New York.
11. [W] R. O. Wells, Differential analysis on complex manifolds (1973), Prentice-Hall, Englewood Cliffs, New Jersey.