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math.CV2022★ 2 cited
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…
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…