Smooth extensions of Sobolev boundary data in corkscrew domains with uniformly rectifiable boundaries
Abstract
Given a corkscrew domain with uniformly rectifiable boundary, we construct a surjective trace map onto the L p Hajłasz-Sobolev space on the boundary from the space of functions on the domain with L p norm involving the non-tangential maximal function of the gradient and the conical square function of the Hessian. This fundametally uses the Dorronsoro theorem for UR sets proven in the companion paper [1] .
Fields of Study & Subjects
Numerical methods in inverse problems
Nonlinear Partial Differential Equations
Analytic and geometric function theory
Publication details
- Journal / source
- Journal of Functional Analysis
- Volume
- 292
- Issue
- 1
- Pages
- 111633–111633
- Publication date
- 14 August 2026
- Language
- EN