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.
Gong, X., Lanzani, L. (2021). Regularity of a ∂¯ -Solution Operator for Strongly C -Linearly Convex Domains with Minimal Smoothness. THE JOURNAL OF GEOMETRIC ANALYSIS, 31(7), 6796-6818 [10.1007/s12220-020-00443-w].
Regularity of a ∂¯ -Solution Operator for Strongly C -Linearly Convex Domains with Minimal Smoothness
Lanzani L.
2021
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.File in questo prodotto:
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