Commenced in January 2007
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Edition: International
Paper Count: 1

Lp boundedness Related Publications

1 Certain Estimates of Oscillatory Integrals and Extrapolation

Authors: Hussain Al-Qassem

Abstract:

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.

Keywords: Fourier transform, Orlicz spaces, Block spaces, extrapolation, oscillatory integrals, Lp boundedness

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