Abstract
We prove regularity of solutions of the ∂¯ -problem in the Hölder–Zygmund spaces of bounded, strongly C-linearly convex domains of class C1 , 1. The proofs rely on a new analytic characterization of said domains which is of independent interest, and on techniques that were recently developed by the first-named author to prove estimates for the ∂¯ -problem on strongly pseudoconvex domains of class C2.
Original language | English (US) |
---|---|
Journal | Journal of Geometric Analysis |
DOIs | |
State | Accepted/In press - 2020 |
Keywords
- Homotopy formula
- Lipschitz estimates
- Strongly C-linear convexity
ASJC Scopus subject areas
- Geometry and Topology