Weighted estimates for oscillatory singular integrals
| Author | Al-Qassem, H. |
| Author | Cheng, L. |
| Author | Fukui, A. |
| Author | Pan, Y. |
| Available date | 2024-02-06T08:42:07Z |
| Publication Date | 2013-05-13 |
| Publication Name | Journal of Function Spaces and Applications |
| Identifier | http://dx.doi.org/10.1155/2013/543748 |
| Citation | Al-Qassem, H., Cheng, L., Fukui, A., & Pan, Y. (2013). Weighted estimates for oscillatory singular integrals. Journal of Function Spaces, 2013. |
| ISSN | 09726802 |
| Abstract | We establish uniform bounds for oscillatory singular integrals as well as oscillatory singular integral operators. We allow the singular kernel to be given by a function in the Hardy space H1(Sn-1), while such results were known previously only for kernels in L log L(Sn-1), a proper subspace of H1(Sn-1). One of our results established a Lp(w)→Lp(w) bound for certain weights. At the same time, it provides a solution to an open problem in Lu (2005). © 2013 H. Al-Qassem et al. |
| Language | en |
| Subject | Integrals |
| Type | Article |
| Volume Number | 2013 |
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Mathematics, Statistics & Physics [689 items ]