Abstract
The quotient of the Szegö and Bergman kernels for a smooth bounded pseudoconvex domains in C n is bounded from above by a constant multiple of δ | log δ | p for any p > n , where δ is the distance to the boundary. For a class of domains that includes those of DʼAngelo finite type and those with plurisubharmonic defining functions, the quotient is also bounded from below by a constant multiple of δ | log δ | p for any p < − 1 . Moreover, for convex domains, the quotient is bounded from above and below by constant multiples of δ.
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