|
|||||
|
|
On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces |
|
| Authors: | Hussain Al-Qassem Leslie Cheng Yi Biao Pan |
| Institution: | [1]Department of Mathematics, Bryn Mawr College, Bryn Mawr, PA 19010, USA [2]Department of Mathematics, University of Pittsburgh, Pittsburgh~ PA 15260, USA |
| 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. |
| Keywords: | Oscillatory singular integral rough kernel Orlicz spaces Block spaces extrapolation Triebel-Lizorkin spaces |
| 本文献已被 维普 SpringerLink 等数据库收录！ | |