  We consider some classes of Levy processes for which the estimate of Krylov
and Safonov (as in [BL02]) fails and thus it is not possible to use the
standard iteration technique to obtain a-priori Holder continuity estimates of
harmonic functions. Despite the faliure of this method, we obtain some a-priori
regularity estimates of harmonic functions for these processes. Moreover, we
extend results from [SSV06] and obtain asymptotic behavior of the Green
function and the Levy density for a large class of subordinate Brownian
motions, where the Laplace exponent of the corresponding subordinator is a
slowly varying function.
