8 citations · 23 across the 14 of their papers we have counts for
4 papers · 1 filter
On Seeley-type Universal Extension Operators for the Upper Half Space
Haowen Lu, Liding Yao
Modified from the standard half-space extension via reflection principle, we construct a linear extension operator for the upper half space that has the form $Ef(x)=\s…
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…
Sobolev and Hölder estimates for homotopy operators of the -equation on convex domains of finite multitype
Liding Yao
We construct homotopy formulas for the -equation on convex domains of finite type that have optimal Sobolev and Hölder estimates. For a bounded smooth finite typ…
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…