Geodesic
Estimates of the Bergman kernel for some pseudoconvex domains
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 23, Tome 222 (1995), pp. 222-245

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Denote by $K_\Omega(z,\zeta)$ the Bergman kernel of a pseudoconvex domain $\Omega$. For some classes of domains $\Omega$, a relationship is found between the rate of increase of $K_\Omega(z,z)$ as $z$ tends to $\partial\Omega$, and a purely geometric property of $\Omega$. Bibliography: 5 titles. 
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     author = {N. A. Shirokov},
     title = {Estimates of the {Bergman} kernel for some pseudoconvex domains},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {222--245},
     publisher = {mathdoc},
     volume = {222},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_222_a8/}
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N. A. Shirokov. Estimates of the Bergman kernel for some pseudoconvex domains. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 23, Tome 222 (1995), pp. 222-245. http://geodesic.mathdoc.fr/item/ZNSL_1995_222_a8/