Weighted boundary limits of the generalized Kobayashi-Royden metrics on weakly pseudoconvex domains

Yu, Ji Ye

doi:10.1090/S0002-9947-1995-1276938-5

Weighted boundary limits of the generalized Kobayashi-Royden metrics on weakly pseudoconvex domains
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Trans. Amer. Math. Soc. 347 (1995), 587-614 Request permission

Abstract:

The purpose of this paper is to study the existence of weighted boundary limits of the generalized Kobayashi-Royden metrics on weakly pseudoconvex domains in ${\mathbb {C}^n}$ and to explore the connections between the limits and the Levi invariants. The main result extends Graham’s result on strongly pseudoconvex domains to a large class of weakly pseudoconvex domains.

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