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Abstract: We examine a certain class of trilinear integral operators which incorporate oscillatory factors e^{iP}, where P is a real-valued polynomial, and prove smallness of such integrals in the pre...
Abstract: Christ, Li, Tao, and Thiele have established multilinear oscillatory integral operator inequalities under severe dimensional restrictions. These restrictions are relaxed substantially in the...
Let S ⊂ Rn be a smooth, compact hyper-surface with positive definite second fundamental form. Let σ be its surface measure.We prove the following result with respect to the Fourier restriction/e...
In this paper, we study certain classes of oscillatory singular integral operators with kernels in Llog L(Sn-1) which is known to be the most desirable size condition for the Lp boundedness to hold. W...

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