대한수학회논문집 (Communications of the Korean Mathematical Society)
- 제10권2호
- /
- Pages.349-355
- /
- 1995
- /
- 1225-1763(pISSN)
- /
- 2234-3024(eISSN)
STABILITY OF THE BERGMAN KERNEL FUNCTION ON PSEUDOCONVEX DOMAINS IN $C^n$
초록
Let $D \subset C^n$ be a smoothly bounded pseudoconvex domain and let ${\bar{D}_r}_r$ be a family of smooth perturbations of $\bar{D}$ such that $\bar{D} \subset \bar{D}_r$. Let $K_D(z, w)$ be the Bergman kernel function on $D \times D$. Then $lim_{r \to 0} K_{D_r}(z, w) = K_D(z, w)$ locally uniformally on $D \times D$.
키워드