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Explicit formulas for the Szegő kernel on certain weakly pseudoconvex domains


Authors: Gábor Francsics and Nicholas Hanges
Journal: Proc. Amer. Math. Soc. 123 (1995), 3161-3168
MSC: Primary 32H10; Secondary 32F15
DOI: https://doi.org/10.1090/S0002-9939-1995-1301494-8
MathSciNet review: 1301494
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Abstract: The objective of this paper is to determine the Szegő kernel of the domain $ \mathcal{D} = \{ (z,\zeta ,w) \in {\mathbb{C}^{n + m + 1}};\Im {\text{m}}w > {\left\Vert z \right\Vert^2} + {\left\Vert \zeta \right\Vert^{2p}}\} $ explicitly in closed form.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1995-1301494-8
Keywords: Szegő kernel, weakly pseudoconvex domains, explicit formulas
Article copyright: © Copyright 1995 American Mathematical Society

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