A component of a brake for a vehicle, having a metallic base body with a surface provided with a coating which includes an intermediate layer lying on the base body and a covering layer lying on the intermediate layer. The covering layer is formed from a stainless steel matrix with hard material particles embedded therein. The hard material particles embedded in the stainless steel matrix have an average grain diameter of 10-125 μm and have a non-melted core region consisting of uninfluenced material of the hard material particles, which core region is surrounded at least in sections by a mixing zone formed from material of the stainless steel matrix and material of the respective hard material particle, via which mixing zone the hard material particles are in each case materially bonded to the stainless steel matrix. Also, a method by which a component coated in this way is produced.