B. Shayya

activity

20152022

most citedWeighted restriction estimates using polynomial partitioning

14 citations · 17 across the 5 of their papers we have counts for

collaborators

5 papers

math.CA2022

Mizohata-Takeuchi estimates in the plane

Bassam Shayya

Suppose $S$ is a smooth compact hypersurface in $R^{n}$ and $σ$ is an appropriate measure on $S$ . If $E f = f d σ^$ is the extension operator associated with $(S, σ)$ , then the…

math.CA2022

A family of fractal Fourier restriction estimates with implications on the Kakeya problem

Bassam Shayya

In a recent paper [Ann. of Math. 189 (2019), 837--861], Du and Zhang proved a fractal Fourier restriction estimate and used it to establish the sharp $L^{2}$ estimate on the Schrödin…

math.CA2022

Improved weighted restriction estimates in $R^{3}$

Bassam Shayya

Suppose $0 < α \leq n$ , $H : R^{n} \to [0, 1]$ is a Lebesgue measurable function, and $A_{α} (H)$ is the infimum of all numbers $C$ for which the inequality $\int_B H(x) dx \leq C R^α…

math.CA2019★ 3 cited

Fourier restriction in low fractal dimensions

Bassam Shayya

Let $S \subset R^{n}$ be a smooth compact hypersurface with a strictly positive second fundamental form, $E$ be the Fourier extension operator on $S$ , and $X$ be a Lebesgue meas…

math.CA2015★ 14 cited

Weighted restriction estimates using polynomial partitioning

Bassam Shayya

We use the polynomial partitioning method of Guth to prove weighted Fourier restriction estimates in $R^{3}$ with exponents $p$ that range between $3$ and $3.25$ , depending on t…

Mizohata-Takeuchi estimates in the plane

A family of fractal Fourier restriction estimates with implications on the Kakeya problem

Improved weighted restriction estimates in R3

Fourier restriction in low fractal dimensions

Weighted restriction estimates using polynomial partitioning

Improved weighted restriction estimates in $R^{3}$