Liding Yao

activity

20202025

most citedNew Estimates of Rychkov's Universal Extension Operator for Lipschitz Domains and Some Applications

8 citations · 23 across the 14 of their papers we have counts for

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7 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 a universal family of $\partial$ homotopy operators on bounded $C^{1, 1}$ domains that are locally strongly $C$ -linearly convexifiable. In particular t…

math.CV2022★ 2 cited

Sobolev and Hölder estimates for homotopy operators of the $\partial$ -equation on convex domains of finite multitype

Liding Yao

We construct homotopy formulas for the $\partial$ -equation on convex domains of finite type that have optimal Sobolev and Hölder estimates. For a bounded smooth finite typ…

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

A Solution Operator for the $\partial$ Equation in Sobolev Spaces of Negative Index

Ziming Shi, Liding Yao

Let $Ω$ be a strictly pseudoconvex domain in $C^{n}$ with $C^{k + 2}$ boundary, $k \geq 1$ . We construct a $\partial$ solution operator (depending on $k$ ) that gains…

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…

math.CV2020★ 1 cited

A Counterexample to $C^{k}$ -regularity for the Newlander-Nirenberg Theorem

Liding Yao

We give an example of $C^{k}$ -integrable almost complex structure that does not admit a corresponding $C^{k + 1}$ -complex coordinate system.

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

A universal ∂ solution operator on nonsmooth strongly pseudoconvex domains

Sobolev and Hölder estimates for homotopy operators of the ∂-equation on convex domains of finite multitype

Sharp Hölder Regularity for Nirenberg's Complex Frobenius Theorem

A Solution Operator for the ∂ Equation in Sobolev Spaces of Negative Index

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

A Counterexample to Ck-regularity for the Newlander-Nirenberg Theorem

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 and Hölder estimates for homotopy operators of the $\partial$ -equation on convex domains of finite multitype

A Solution Operator for the $\partial$ Equation in Sobolev Spaces of Negative Index

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

A Counterexample to $C^{k}$ -regularity for the Newlander-Nirenberg Theorem