On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces
| Author | Al-Qassem, Hussain |
| Author | Cheng, Leslie |
| Author | Pan, Yi Biao |
| Available date | 2024-02-06T10:02:04Z |
| Publication Date | 2011-10-01 |
| Publication Name | Acta Mathematica Sinica, English Series |
| Identifier | http://dx.doi.org/10.1007/s10114-011-0410-3 |
| Citation | Al-Qassem, H., Cheng, L., & Pan, Y. B. (2011). On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces. Acta Mathematica Sinica, English Series, 27, 1881-1898. |
| ISSN | 14398516 |
| Abstract | We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory integrals with polynomial phase. By using these bounds and using an extrapolation argument we obtain some new and previously known results for oscillatory integrals under very weak size conditions on the kernel functions. © 2011 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg. |
| Language | en |
| Publisher | springer link |
| Subject | Block spaces extrapolation Orlicz spaces Oscillatory singular integral rough kernel Triebel-Lizorkin spaces |
| Type | Article |
| Pagination | 1881-1898 |
| Issue Number | 10 |
| Volume Number | 27 |
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Mathematics, Statistics & Physics [726 items ]