Ester derivatives of 2-amino-2-phenyl-alkanol of general formula (I) in which: R1 forms with R3 and the nitrogen and carbon atoms to which they are respectively attached, a heterocycle with 4 to 7 members, optionally substituted in the α position of the nitrogen atom by one or two Ra and Rb radicals being able to be independently of one another hydrogen or linear or branched alkyl (1 to 4C), and R2 is H or a —CO—O—CHR4—OCOR5 radical for which R4 is H or linear or branched alkyl (1 to 4C), and R5 is alkyl optionally substituted by benzyloxycarbonylamino, acylamino or by the remainder of an amino acid, or represents a heterocycle, or R2 is linear or branched alkyl (1 to 4C), alkyl (2 to 4C) substituted by OH, alkoxy, alkylthio, NH2, alkylamino, dialkylamino optionally forming with the nitrogen atom to which they are attached, a heterocycle with 5 or 6 members, it being understood that the substituted alkyl radical is linear or branched and comprises at least 2C between >N—R2 and the substituent, unless specified otherwise, alkyl or acyl are linear or branched (1 to 7C), in their R or S forms or their mixtures, as well as its pharmaceutically acceptable salts, if any.