Sufficiency of weighted jets using Paunescu’s singular metric
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In this work we consider the Paunescu’s singular metric in the source to investigate the bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs with a fixed weighted degree. This approach was motivated by the works of Paunescu, who investigated the V-sufficiency from the weighted point of view considering this metric in the source. Here we show a criterion for the bi-Lipschitz and differentiable sufficiency in the jet space of weighted jets taking into account the effect of this Paunescu’s singular metric on Rn.
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58K15, 58K40, 58K65, Paunescu’s singular metric, Sufficiency of jets, Weighted jets, 58k15, 58k40, 58k65, Lipschitz, Sufficiency of jet, Weighted degree, Weighted jet
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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, v. 118, n. 2, 2024.
