New weighted L2 estimates with exponent 2/9 for broad Fourier extension operators on 1D fractals yield improvements to maximal Schrodinger, maximal extension, circular Lp decay, and an Lp Mizohata-Takeuchi inequality.
Restriction and decoupling estimates for the hyperbolic paraboloid in $\mathbb{R}^3$
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abstract
We prove bilinear $\ell^2$-decoupling and refined bilinear decoupling inequalities for the truncated hyperbolic paraboloid in $\mathbb{R}^3$. As an application, we prove the associated restriction estimate in the range $p>22/7$, matching an earlier result for the elliptic paraboloid.
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Weighted $L^2$ estimates with applications to $L^p$ problems
New weighted L2 estimates with exponent 2/9 for broad Fourier extension operators on 1D fractals yield improvements to maximal Schrodinger, maximal extension, circular Lp decay, and an Lp Mizohata-Takeuchi inequality.