2-amino-2-phenyl-alkanol ester derivatives of general formula (I) in which: R1 is H, straight or branched 1 to 4C alkyl, straight or branched 2 to 4C alkyl substituted by OH, alkoxy, alkylthio, acyloxy, NH2, alkylamino, dialkylamino, alkylcarbamoyloxy, alkoxycarbonylamino, ureido or alkylureido, R2 is a -CO-R radical in which R is H, alkyl, aryl, heterocyclyl, benzyl or heterocyclylmethyl, or R2 is a - CO-Y-R4 radical for which Y is -0-, -S-, -NH-, -Nalk- for which alk is straight or branched (1 to 4C) alkyl, and R4 is alkyl, aryl, aralkyl or heterocyclylalkyl, capable of being substituted by one or more halogen atoms or OH radicals, straight or branched (1 to 4C) alkyl, alkoxy, alkylthio, acylaminoalkylthio, alkoxycarbonyl or acylamino (1 to 4C) straight or branched, or oxo, or capable of being substituted by R5COO- in which R5 is alkyl optionally substituted by benzyloxycarbonylamino, acylamino or by an amino acid residue, or represents an heterocyclyl radical, or R2 is alkyl (2 to 4C) substituted by OH, alkoxy, alkylthio, acyloxy, NH2, alkylamino, dialkylamino optionally forming, with the nitrogen atom to which they are attached, a 5- or 6-member heterocycle optionally having another heteroatom (0 or N), or substituted by alkylcarbamoyloxy, alkoxycarbonylamino, ureido or alkylureido, it being understood that said straight or branched substituted alkyl radical comprises at least 2C between > N-R2 and the substituent; and R3 is alkyl (1 to 4C) straight or branched unless specifically mentioned, alkyl or acyl are straight or branched (1 to 7C), in their R or S forms or their mixtures, as well as their pharmaceutically acceptable salts when these exist.