Certain Estimates Of Oscillatory Integrals And Extrapolation
Hussain Al-Qassem · Zenodo (CERN European Organization for Nuclear Research) · 2010
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.