A sharp decay estimate for degnerate oscillatory integral operators using broad-narrow method

Published 28 Sep 2022 in math.CA | (2209.13884v1)

Abstract: We use broad-narrow method to estabish the sharp $L^4$ decay estimate for a class of degenerate oscillatory integral operators in $(2+1)$ dimensions. Especially, the model phase function is [xt^{2+y^2t,]} a cubic homogeneous polynomial which is degenerate in the sense of [28].

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Shaozhen Xu

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