4 papers
math.CA2026
Oscillatory Integral Operators Along the Paraboloid and Applications
Jianghao Zhang
We prove decay estimates for oscillatory integral operators along in the finite field and the continuous settings. In the continuous setting, our result a…
math.CA2026
Remarks on the Ionescu-Wainger multiplier theorem
Dariusz Kosz, Mariusz Mirek, Wojciech Słomian +1
In this paper, we extend the recent Ionescu--Wainger multiplier theorem for the set of canonical fractions by Kosz, Mirek, Peluse, Wan, and Wright in several directions. First, we…
math.CA2025
Non-Degenerate Multilinear Singular Multipliers with Fractional Rank
Jianghao Zhang
We establish estimates for multilinear multipliers acting on -tuples of functions on . We assume that the multiplier satisfies symbol estimates outside a…
math.CA2023
On Type IV Superorthogonality
Jianghao Zhang
We prove the direct and the converse inequality for type IV superorthogonality in the vector-valued setting. The converse one is also new in the scalar setting.