Some applications of a new integral formula for $∂̅_{b}$

Moulay-Youssef Barkatou

Displaying similar documents to “Some applications of a new integral formula for $\partial ̅_{b}$ ”

Regularity of the tangential Cauchy-Riemann complex and applications

Joachim Michel (1995)

Banach Center Publications

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Tangential Cauchy-Riemann equations on quadratic manifolds

Marco M. Peloso, Fulvio Ricci (2002)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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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.

A collar neighborhood theorem for a complex manifold

C. Denson Hill, Mauro Nacinovich (1994)

Rendiconti del Seminario Matematico della Università di Padova

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Holomorphic extension from weakly pseudoconcave CR manifolds

Andrea Altomani, C. Denson Hill, Mauro Nacinovich, Egmont Porten (2010)

Rendiconti del Seminario Matematico della Università di Padova

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Decomposition of CR-manifolds and splitting of CR-maps

Atsushi Hayashimoto, Sung-Yeon Kim, Dmitri Zaitsev (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We show the uniqueness of local and global decompositions of abstract CR-manifolds into direct products of irreducible factors, and a splitting property for their CR-diffeomorphisms into direct products with respect to these decompositions. The assumptions on the manifolds are finite non-degeneracy and finite-type on a dense subset. In the real-analytic case, these are the standard assumptions that appear in many other questions. In the smooth case, the assumptions cannot be weakened...

Fields of CR meromorphic functions

C. Denson Hill, Mauro Nacinovich (2004)

Rendiconti del Seminario Matematico della Università di Padova

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Hartogs theorem for forms : solvability of Cauchy-Riemann operator at critical degree

Chin-Huei Chang, Hsuan-Pei Lee (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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The Hartogs Theorem for holomorphic functions is generalized in two settings: a CR version (Theorem 1.2) and a corresponding theorem based on it for $C^{k}$ $\bar{\partial}$ -closed forms at the critical degree, $0 \leq k \leq \infty$ (Theorem 1.1). Part of Frenkel’s lemma in $C^{k}$ category is also proved.

Extension of $C R$ -forms and related problems

Alessandro Perotti (1987)

Rendiconti del Seminario Matematico della Università di Padova

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Displaying similar documents to “Some applications of a new integral formula for ∂ ̅ b ”

Displaying similar documents to “Some applications of a new integral formula for $\partial ̅_{b}$ ”