Optimal regularity for $$\bar \partial _b $$ onCR manifoldsonCR manifolds

Barkatou, Moulay Youssef

doi:10.1007/bf02921822

Search citation statements

Order By: Relevance

Paper Sections

Select...

Local Results1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2000

2006

Publication Types

Select...

Article3

Relationship

Self Cite1

Independent2

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This result can be easily deduced from Theorem 0.1 in [2]. Under the hypothesis > 0, a slightly weaker result, also sufficient for our application, is given in Theorem 7.1.2 of [1].…”

Section: Local Resultsmentioning

confidence: 75%

Malgrange’s vanishing theorem in 1-concave CR manifolds

Laurent-Thiébaut

Leiterer

2000

Nagoya Mathematical Journal

View full text Add to dashboard Cite

show abstract

“…This result can be easily deduced from Theorem 0.1 in [2]. Under the hypothesis > 0, a slightly weaker result, also sufficient for our application, is given in Theorem 7.1.2 of [1].…”

Section: Local Resultsmentioning

confidence: 75%

Malgrange’s vanishing theorem in 1-concave CR manifolds

Laurent-Thiébaut

Leiterer

2000

Nagoya Mathematical Journal

View full text Add to dashboard Cite

show abstract

Global -homotopy with Ck estimates for a family of compact, regular q-pseudoconcave CR manifolds

Polyakov

2004

Math. Z.

View full text Add to dashboard Cite

show abstract

Solutions fondamentales et estimations optimales pour l'opérateur de Cauchy-Riemann tangentiel

Barkatou¹,

Laurent-Thiébaut²

2006

Michigan Math. J.

Self Cite

View full text Add to dashboard Cite

Dans le cadre de l'étude de l'opérateur de Cauchy-Riemann tangentiel sur les variétés Cauchy-Riemann (CR), il est particulièrement intéressant d'obtenir des estimations optimales pour la résolution de l'équation ∂b u = f ainsi que des théorèmes de régularité.Dans cet article nous considérons le cas d'une variété CR générique q-concave M de codimension réelle k, plongée dans C n et nous construisons un noyau R M sur M, qui possède des propriétés analogues au noyau de Bochner-Martinelli dans C n . Le résultat principal est le théorème suivant:z∈ f (z) ∧ R M (z, ζ) + (−1) k+1 z∈ ∂b f (z) ∧ R M (z, ζ) + (−1) k z∈∂ f (z) ∧ R M (z, ζ).

show abstract

Optimal regularity for $$\bar \partial _b $$ onCR manifoldsonCR manifolds

Cited by 3 publications

References 14 publications

Malgrange’s vanishing theorem in 1-concave CR manifolds

Malgrange’s vanishing theorem in 1-concave CR manifolds

Global -homotopy with Ck estimates for a family of compact, regular q-pseudoconcave CR manifolds

Solutions fondamentales et estimations optimales pour l'opérateur de Cauchy-Riemann tangentiel

Contact Info

Product

Resources

About