Poisson-like kernels in tube domains over light-cones
Garrigós, Gustavo
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002), p. 271-283 / Harvested from Biblioteca Digitale Italiana di Matematica
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A family of holomorphic function spaces can be defined with reproducing kernels Bα⁢z,w, obtained as real powers of the Cauchy-Szegö kernel. In this paper we study properties of the associated Poisson-like kernels: Pα⁢z,w=Bα⁢z,w2/Bα⁢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.

Publié le : 2002-12-01
@article{RLIN_2002_9_13_3-4_271_0,
     author = {Gustavo Garrig\'os},
     title = {Poisson-like kernels in tube domains over light-cones},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {13},
     year = {2002},
     pages = {271-283},
     zbl = {1225.32005},
     mrnumber = {1984106},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2002_9_13_3-4_271_0}
}

Garrigós, Gustavo. Poisson-like kernels in tube domains over light-cones. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002) pp. 271-283. http://gdmltest.u-ga.fr/item/RLIN_2002_9_13_3-4_271_0/

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