Shows L^p bounds for polynomial Carleson operators and L^2 bounds for oscillatory integrals of Radon type, suggesting uniformity in their behavior.
In this paper, we establish the Lᵖ bounds for partial polynomial Carleson operators along polynomial curves for p > 1 , which depend only on p and the number of monomials in the defining polynomial. Additionally, we study two classes of oscillatory integral operators of Radon type and derive uniform L² bounds.
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Moyan Qin (2025) studied this question.
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