Certain Estimates of Oscillatory Integrals and Extrapolation

Main Author: Hussain Al-Qassem
Format: Article
Bahasa: eng
Terbitan: , 2010
Subjects:
Online Access: https://zenodo.org/record/1072696
Daftar Isi:
  • 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.