Certain estimates of oscillatory integrals and extrapolation
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 L p boundedness for these oscillatory integrals under rather weak size conditions on the kernel function.
DOI/handle
http://hdl.handle.net/10576/51628Collections
- Mathematics, Statistics & Physics [738 items ]