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We prove continuity on domains up to the boundary for n/2-polyharmonic mapsinto manifolds. Technically, we show how to adapt Helein's direct approach tothe fractional setting. This extends a remark by the author that this ispossible in the setting of Riviere's famous regularity result for criticalpoints of conformally invariant variational functionals. Moreover, pointwisebehavior for the involved three-commutators is established. Continuity up tothe boundary is then obtained via an adaption of Hildebrandt and Kaul'stechnique to the non-local setting.

Interior and Boundary-Regularity for Fractional Harmonic Maps on Domains