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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     author = {Gustavo, Garrig\'os},
     title = {Poisson-like kernels in tube domains over light-cones},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {271--283},
     publisher = {mathdoc},
     volume = {Ser. 9, 13},
     number = {3-4},
     year = {2002},
     language = {it},
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Gustavo, Garrigós. 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. https://geodesic-test.mathdoc.fr/item/AANLMA_2002_9_13_3-4_a8/