Estimates for singular integrals along surfaces of revolution
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Abstract
金沢大学人間社会研究域学校教育系
We prove certain Lp estimates (1<p<) for nonisotropic singular integrals along surfaces of revolution. The singular integrals are defined by rough kernels. As an application we obtain Lp boundedness of the singular integrals under a sharp size condition on their kernels. We also prove a certain estimate for a trigonometric integral, which is useful in studying nonisotropic singular integrals. © 2009 Copyright Australian Mathematical Society.
Journal
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- Journal of the Australian Mathematical Society
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Journal of the Australian Mathematical Society 86 (3), 413-430, 2009-06-01
Australian Mathematical Society
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Details 詳細情報について
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- CRID
- 1050001335923877760
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- NII Article ID
- 120001643237
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- NII Book ID
- AA11520722
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- ISSN
- 14467887
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- Web Site
- http://hdl.handle.net/2297/19609
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles