Substituted sulfonamide derivatives of the general formula I, in which m represents 0, 1 or 2； n represents 0, 1 or 2； p represents 0, 1 or 2； q represents 0 or 1； A represents N, CH-NH-, CH-CH2NH-, CH-CH2-CH2-NH or CH-CH2-CH2-CH2-NH, and the individual H atoms may also be substituted by C1-5-alkyl； R 1 and R 2 mean, independently of each other, H； C1-6-alkyl, in each case saturated or unsaturated, branched or unbranched, substituted simply or multiple or unsubstituted； or aryl linked through a C1-3-alkyl chain, substituted simply or multiplely or unsubstituted, R 1 and R 2 not being equal to H at the same time； or the radicals R 1 and R 2 together mean CH2CH2OCH2CH2, CH2CH2NR 8 CH2CH2 or (CH2) 3-6； R 8 being equal to H； C1-6-alkyl, in each case saturated or unsaturated, branched or unbranched, substituted simply or multiple or unsubstituted； aryl, heteroaryl in each case substituted simply or multiplely or unsubstituted； or aryl or heteroaryl linked through a C1-3-alkyl chain, in each case substituted simply or multiple or unsubstituted； R 3 represents C1-8-alkyl, in each case saturated or unsaturated, branched or unbranched, substituted simply or multiple or unsubstituted； aryl or heteroaryl in each case substituted simply or multiplely or unsubstituted； or aryl or heteroaryl linked through a C1-3-alkyl chain, in each case substituted simply or multiple or unsubstituted； R 4 and R 4a represent, independently of each other, H； C1-6-alkyl, in each case saturated or unsaturated, branched or unbranched, substituted simply or multiple or unsubstituted； F； Cl； aryl, in each case substituted simply or multiplely or unsubstituted； or aryl linked through a C1-3-alkyl chain, in each case substituted simply or multiple or unsubstituted； R 5 and R 5a represent, independently of each other, H； C1-6-alkyl, in each case saturated or unsaturated, branched or unbranched, substituted simply or multiple or unsubstituted； OH, OC1-6-alkyl, F, Cl, phenoxy or benzyloxy； Q represents a s
