Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension
Let M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/326434 |
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| _version_ | 1832562145897742336 |
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| author | Shaban Khidr Osama Abdelkader |
| author_facet | Shaban Khidr Osama Abdelkader |
| author_sort | Shaban Khidr |
| collection | DOAJ |
| description | Let M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for (0,s)-forms on M. |
| format | Article |
| id | doaj-art-085353c1d67f4379a983000b5876b214 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-085353c1d67f4379a983000b5876b2142025-02-03T01:23:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/326434326434Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary CodimensionShaban Khidr0Osama Abdelkader1Mathematics Department, Faculty of Science, King Abdulaziz University, North Jeddah, Jeddah 21589, Saudi ArabiaMathematics Department, Faculty of Science, Minia University, El-Minia 61915, EgyptLet M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for (0,s)-forms on M.http://dx.doi.org/10.1155/2014/326434 |
| spellingShingle | Shaban Khidr Osama Abdelkader Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension Abstract and Applied Analysis |
| title | Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension |
| title_full | Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension |
| title_fullStr | Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension |
| title_full_unstemmed | Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension |
| title_short | Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension |
| title_sort | global regularity for the ∂ b equation on cr manifolds of arbitrary codimension |
| url | http://dx.doi.org/10.1155/2014/326434 |
| work_keys_str_mv | AT shabankhidr globalregularityforthebequationoncrmanifoldsofarbitrarycodimension AT osamaabdelkader globalregularityforthebequationoncrmanifoldsofarbitrarycodimension |