Liding Yao

most citedSobolev

\frac{1}{2}

estimates for

\partial

equations on strictly pseudoconvex domains with

C^{2}

boundary

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.CA2022

On Rough Frobenius-type Theorems and Their Hölder Estimates

Liding Yao

The thesis studies Frobenius-type theorems in non-smooth settings. We extend the definition of involutivity to non-Lipschitz subbundles using generalized functions. We prove the re…

math.CV2022

Sharp Hölder Regularity for Nirenberg's Complex Frobenius Theorem

Liding Yao

Nirenberg's famous complex Frobenius theorem gives necessary and sufficient conditions on a locally integrable structure for when the manifold is locally diffeomorphic to $\mathbb…

math.CV2021★ 2 cited

Sobolev $\frac{1}{2}$ estimates for $\partial$ equations on strictly pseudoconvex domains with $C^{2}$ boundary

Ziming Shi, Liding Yao

We construct a solution operator for $\partial$ equation that gains $\frac{1}{2}$ derivative in the fractional Sobolev space $H^{s, p}$ on bounded strictly pseudoconvex d…

On Rough Frobenius-type Theorems and Their Hölder Estimates

Sharp Hölder Regularity for Nirenberg's Complex Frobenius Theorem

Sobolev 21​ estimates for ∂ equations on strictly pseudoconvex domains with C2 boundary

Sobolev $\frac{1}{2}$ estimates for $\partial$ equations on strictly pseudoconvex domains with $C^{2}$ boundary