Geodesic
Poisson-like kernels in tube domains over light-cones
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 3-4, pp. 271-283.

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A family of holomorphic function spaces can be defined with reproducing kernels $B_{\alpha}(z,w)$, obtained as real powers of the Cauchy-Szegö kernel. In this paper we study properties of the associated Poisson-like kernels: $P_{\alpha}(z,w) = |B_{\alpha}(z,w)|^{2} / B_{\alpha}(z,z)$. In particular, we show boundedness of associated maximal operators, and obtain formulas for the limit of Poisson integrals in the topological boundary of the cone. 
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     title = {Poisson-like kernels in tube domains over light-cones},
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Garrigós, Gustavo. Poisson-like kernels in tube domains over light-cones. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 13 (2002) no. 3-4, pp. 271-283. http://geodesic.mathdoc.fr/item/RLIN_2002_9_13_3-4_a8/

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