The solution space for fractional-order operators on C^{1+τ} domains decomposes as the direct sum of a full-regularity Sobolev/Hölder component and a d^a-lifted boundary component, enabling gradient estimates.
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The structure of solution spaces for fractional-order operators, with gradient estimates
The solution space for fractional-order operators on C^{1+τ} domains decomposes as the direct sum of a full-regularity Sobolev/Hölder component and a d^a-lifted boundary component, enabling gradient estimates.