Tangential Cauchy-Riemann equations on quadratic  manifolds

Peloso, Marco M.; Ricci, Fulvio

Tangential Cauchy-Riemann equations on quadratic manifolds

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002), p. 285-294 / Harvested from Biblioteca Digitale Italiana di Matematica

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Résumé

We study the tangential Cauchy-Riemann equations ${\bar{\partial}}_{b} u = ω$ for $(0, q)$ -forms on quadratic $C R$ manifolds. We discuss solvability for data $ω$ in the Schwartz class and describe the range of the tangential Cauchy-Riemann operator in terms of the signatures of the scalar components of the Levi form.

Publié le : 2002-12-01

MR 1984107 | Zbl 1225.32037

@article{RLIN_2002_9_13_3-4_285_0,
     author = {Marco M. Peloso and Fulvio Ricci},
     title = {Tangential Cauchy-Riemann equations on quadratic  manifolds},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {13},
     year = {2002},
     pages = {285-294},
     zbl = {1225.32037},
     mrnumber = {1984107},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_2002_9_13_3-4_285_0}
}

Peloso, Marco M.; Ricci, Fulvio. Tangential Cauchy-Riemann equations on quadratic  manifolds. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002) pp. 285-294. http://gdmltest.u-ga.fr/item/RLIN_2002_9_13_3-4_285_0/

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