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

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4 papers · 1 filter

math.CV2025

On $\partial$ homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates

Liding Yao, Yuan Zhang

We construct homotopy formulae $f = \partial H_{q} f + H_{q + 1} \partial f$ for $(0, q)$ forms on the product domain $Ω_{1} \times \dots \times Ω_{m}$ , where each…

math.CV2024

A universal $\partial$ solution operator on nonsmooth strongly pseudoconvex domains

Liding Yao

We construct homotopy formulae $f = \partial H_{q} f + H_{q + 1} \partial f$ on a bounded domain which is either $C^{2}$ strongly pseudoconvex or $C^{1, 1}$ …

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 ∂ homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates

A universal ∂ solution operator on nonsmooth strongly pseudoconvex domains

Sharp Hölder Regularity for Nirenberg's Complex Frobenius Theorem

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

On $\partial$ homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates

A universal $\partial$ solution operator on nonsmooth strongly pseudoconvex domains

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