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math.AP2022
Decoupling for finite type phases in higher dimensions
Chuanwei Gao, Zhuoran Li, Tengfei Zhao +1
In this paper, we establish an decoupling inequality for the hypersurface \[\Big\{(ξ_1,...,ξ_{n-1},ξ_1^m+...+ξ_{n-1}^m): (ξ_1,...,ξ_{n-1}) \in [0,1]^{n-1}\Big\}\]associate…
math.AP2022
A type of oscillatory integral operator and its applications
Chuanwei Gao, Jingyue Li, Liang Wang
In this paper, we consider - estimate for a class of oscillatory integral operators satisfying the Carleson-Sjölin conditions with further convex and straight assumptions. As…