On an extension of singular integrals along manifolds of finite type
We extend the Lp-boundedness of a class of singular integral operators under the H1 kernel condition on a compact manifold from the homogeneous Sobolev space L˙αp(ℝn) to the Lebesgue space Lp(ℝn).
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/59830 |
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| _version_ | 1849405738640736256 |
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| author | Abdelnaser Al-Hasan Dashan Fan |
| author_facet | Abdelnaser Al-Hasan Dashan Fan |
| author_sort | Abdelnaser Al-Hasan |
| collection | DOAJ |
| description | We extend the Lp-boundedness of a class of singular integral operators
under the H1 kernel condition on a compact manifold from the homogeneous
Sobolev space L˙αp(ℝn) to the Lebesgue space
Lp(ℝn). |
| format | Article |
| id | doaj-art-4a58d9c99bcf455ebd8c7b9dabe08edb |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4a58d9c99bcf455ebd8c7b9dabe08edb2025-08-20T03:36:35ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/5983059830On an extension of singular integrals along manifolds of finite typeAbdelnaser Al-Hasan0Dashan Fan1Department of Mathematics, An-Najah National University, P.O. Box 7, Nablus, West Bank, Palestinian AuthorityDepartment of Mathematics, AUniversity of Wisconsin-Milwaukee, Milwaukee, WI 53201, USAWe extend the Lp-boundedness of a class of singular integral operators under the H1 kernel condition on a compact manifold from the homogeneous Sobolev space L˙αp(ℝn) to the Lebesgue space Lp(ℝn).http://dx.doi.org/10.1155/IJMMS/2006/59830 |
| spellingShingle | Abdelnaser Al-Hasan Dashan Fan On an extension of singular integrals along manifolds of finite type International Journal of Mathematics and Mathematical Sciences |
| title | On an extension of singular integrals along manifolds of finite type |
| title_full | On an extension of singular integrals along manifolds of finite type |
| title_fullStr | On an extension of singular integrals along manifolds of finite type |
| title_full_unstemmed | On an extension of singular integrals along manifolds of finite type |
| title_short | On an extension of singular integrals along manifolds of finite type |
| title_sort | on an extension of singular integrals along manifolds of finite type |
| url | http://dx.doi.org/10.1155/IJMMS/2006/59830 |
| work_keys_str_mv | AT abdelnaseralhasan onanextensionofsingularintegralsalongmanifoldsoffinitetype AT dashanfan onanextensionofsingularintegralsalongmanifoldsoffinitetype |