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).
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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 |
| Summary: | 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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| ISSN: | 0161-1712 1687-0425 |