  We establish integral tests and laws of the iterated logarithm for the lower
envelope of positive self-similar Markov processes at 0 and $+\infty$. Our
proofs are based on the Lamperti representation and time reversal arguments.
These results extend laws of the iterated logarithm for Bessel processes due to
Dvoretsky and Erd\"{o}s, Motoo and Rivero.
