摘要
We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory inte- grals 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.
We obtain appropriate sharp bounds on Triebel-Lizorkin spaces for rough oscillatory inte- grals 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.
