2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144106We prove that there exists a nonzero holderian real-to-real function vanishing together with its M. Rietz potential in all points of some set of positive length. This result improves the one of D. Beliaev and V. Havin. We also extend the results to multidimensional M. Rietz potentials.Complex VariablesMathematical PhysicsClassical Analysis and ODEs31B25text