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Boundary Behavior of Holomorphic Discs in Convex Finite Type Domains
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In this paper, we study holomorphic discs in a domain with a plurisubharmonic peak function at a boundary point. The aim is to describe boundary behavior of holomorphic discs in convex finite type domains in the complex Euclidean space in term of a special local neighborhood system at a boundary point.
Abstract
In this paper, we study holomorphic discs in a domain with a plurisubharmonic peak function at a boundary point. The aim is to describe boundary behavior of holomorphic discs in convex finite type domains in the complex Euclidean space in term of a special local neighborhood system at a boundary point.
참고문헌 (5)
- J. P. D'Angelo, "Real hypersurfaces, orders of contact, and applications", Ann. of Math., 115(2), pp.615~637 (1982)
- J. E. Fornaess, "Construction of P.S.H. functions on weakly pseudoconvex domains", Duke Math. J., 58, pp.633~655 (1989)
- D. Gilbarg, (1983), Springer-Verlag
- S. Ivashkovich, "Schwarz-type lemmas for solutions of @-inequalities and complete hyperbolicity of almost complex manifolds", Ann. Inst. Fourier (Grenoble), 54, pp.2387~2435 (2004)
- K. -H. Lee, "Domains in almost complex manifolds with an automorphism orbit accumulat-ing at a strongly pseudoconvex boundary point", Michigan Math. J., 54, pp.179~205 (2006)
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