Uniform Estimates for Oscillatory Integral Operators with Polynomial Phases
Abstract
In this paper, we shall prove the uniform sharp Lp decay estimates for a class of oscillatory integral operators with polynomial phases. By this one-dimensional result, we can use the rotation method to obtain uniform sharp Lp estimates of certain higher-dimensional oscillatory integral operators.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.