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Uniform bounds for polynomial Carleson operators and oscillatory integrals of Radon type
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- Journal:
- Proceedings of the Royal Society of Edinburgh. Section A: Mathematics , First View
- Published online by Cambridge University Press:
- 04 December 2025, pp. 1-23
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In this paper, we establish the
$L^p$ bounds for partial polynomial Carleson operators along polynomial curves for 
$p \gt 1$, 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 
$L^2$ bounds.
Uniform asymptotic estimates of transition probabilities on combs
- Part of
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- Journal:
- Journal of the Australian Mathematical Society / Volume 75 / Issue 3 / December 2003
- Published online by Cambridge University Press:
- 09 April 2009, pp. 325-354
- Print publication:
- December 2003
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