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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| Format: | Article |
| Language: | English |
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Hindawi Limited
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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doaj-4a58d9c99bcf455ebd8c7b9dabe08edb2020-11-24T23:16:39ZengHindawi LimitedInternational 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 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Abdelnaser Al-Hasan Dashan Fan |
| spellingShingle |
Abdelnaser Al-Hasan Dashan Fan On an extension of singular integrals along manifolds of finite type International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Abdelnaser Al-Hasan Dashan Fan |
| author_sort |
Abdelnaser Al-Hasan |
| title |
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_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_sort |
on an extension of singular integrals along manifolds of finite type |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2006-01-01 |
| 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). |
| url |
http://dx.doi.org/10.1155/IJMMS/2006/59830 |
| work_keys_str_mv |
AT abdelnaseralhasan onanextensionofsingularintegralsalongmanifoldsoffinitetype AT dashanfan onanextensionofsingularintegralsalongmanifoldsoffinitetype |
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1725586366958403584 |