measure theory: abs. cont. fcn f satisfies Lipschitz condition iff │f’│ is bounded

[Reham]

measure theory: abs. cont. fcn f satisfies Lipschitz condition iff │f’│ is bounded

hello every one>>
i ask if any one can help me in this homework???

show that an absolutely continuous function f satisfies a lipschitz condition if and only if │f’│is bounded?

 

[Deleted member 4993]

hello every one>>
i ask if any one can help me in this homework???

show that an absolutely continuous function f satisfies a lipschitz condition if and only if │f’│is bounded?

Do you know the definitions of:

a) absolutely continuous

b) Lipschitz condition