The invention relates to 2-amino-2-phenyl-alkanol-derived esters of general formula (I), where: R forms, with R and the nitrogen and carbon atoms to which they are respectively attached, a 4- to 7-membered heterocyclic compound, optionally substituted, in position α of the nitrogen atom, by radicals R and R that, separately from each other, can be a hydrogen or a straight or branched alkyl (1 to 4 C) and R is H or a CO-O-CHR-OCOR radical for which R is a hydrogen or a straight or branched alkyl (1 to 4 C) and R is an alkyl optionally substituted by benzyloxycarbonylamino, acylamino, or by the residue of an amino acid, or is a heterocyclic compound or R is a straight or branched alkyl (1 to 4 C), or an alkyl (2 to 4 C) substituted by OH, alkoxy, alkylthio, NH, alkylamino, or dialkylamino optionally forming, with the nitrogen atom to which they are attached, a 5- or 6-membered heterocyclic compound, assuming that said substituted alkyl is straight or branched and comprises at least 2 C between >N-R and the substituent, wherein, unless otherwise mentioned, alkyl or acyl are straight or branched (1 to 7 C), in the R or S forms thereof or in the form of the mixtures thereof, as well as the pharmaceutically acceptable salts thereof, if present.