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) |
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Pages (from-to) | 6796-6818 |
Number of pages | 23 |
Journal | Journal of Geometric Analysis |
Volume | 31 |
Issue number | 7 |
DOIs | |
State | Published - Jul 2021 |
Keywords
- Homotopy formula
- Lipschitz estimates
- Strongly C-linear convexity
ASJC Scopus subject areas
- Geometry and Topology