Comparison of the Bergman and Szegö kernels |
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Authors: | Bo-Yong Chen Siqi Fu |
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Institution: | aDepartment of Mathematics, Tongji University, Shanghai, 200092, China;bDepartment of Mathematical Sciences, Rutgers University, Camden, NJ 08102, USA |
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Abstract: | The quotient of the Szegö and Bergman kernels for a smooth bounded pseudoconvex domains in Cn is bounded from above by a constant multiple of for any p>n, where δ is the distance to the boundary. For a class of domains that includes those of D?Angelo finite type and those with plurisubharmonic defining functions, the quotient is also bounded from below by a constant multiple of 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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Keywords: | MSC: 32A25 32W05 32U35 |
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