On an extension of singular integrals along manifolds of finite type

Abdelnaser Al-Hasan and Dashan Fan

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-16

Abstract:

We extend the L p -boundedness of a class of singular integral operators under the H 1 kernel condition on a compact manifold from the homogeneous Sobolev space L ˙ α p ( ℠n ) to the Lebesgue space L p ( ℠n ) .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:059830

DOI: 10.1155/IJMMS/2006/59830

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