Certain Estimates of Oscillatory Integrals and Extrapolation

نویسنده

  • Hussain Al-Qassem
چکیده

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 L boundedness for these oscillatory integrals under rather weak size conditions on the kernel function. Keywords—Fourier transform, oscillatory integrals, Orlicz spaces, Block spaces, Extrapolation, L boundedness.

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تاریخ انتشار 2011