3 papers
math.CV2025
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 ty…
math.CV2025
On homotopy formulae for product domains: Nijenhuis-Woolf's formulae and optimal Sobolev estimates
Liding Yao, Yuan Zhang
We construct homotopy formulae for forms on the product domain , where eac…
math.CV2024
A universal solution operator on nonsmooth strongly pseudoconvex domains
Liding Yao
We construct homotopy formulae on a bounded domain which is either strongly pseudoconvex or …