Key points are not available for this paper at this time.
The aims of this paper are twofold. First, we generalize the classical Ramadanov theorem and Skwarczyński theorem for the Formula: see text Bergman kernels to the Formula: see text case, which are concerned with the compact convergence of Formula: see text Bergman kernels on an increasing or decreasing sequence of domains in Formula: see text. Second, we prove a localization principle for the Formula: see text Bergman kernel on bounded strongly pseudoconvex domains with smooth boundary. Utilize the localization, we study the asymptotic behavior of the Formula: see text Bergman kernel near strongly pseudoconvex boundary points and show that the Formula: see text-Schwarz content is identical to Formula: see text on a neighborhood of a strongly pseudoconvex boundary point.
Zhang et al. (Sat,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: