%0 Journal Article %A Hussain Al-Qassem %D 2010 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 41, 2010 %T Certain Estimates of Oscillatory Integrals and Extrapolation %U https://publications.waset.org/pdf/9399 %V 41 %X In this paper we study the boundedness properties of certain oscillatory integrals with polynomial phase. We obtain sharp estimates for these oscillatory integrals. By the virtue of these estimates and extrapolation we obtain Lp boundedness for these oscillatory integrals under rather weak size conditions on the kernel function. %P 553 - 557