An analogue of Lebesgue-Radon-Nikodym theorem with respect to p-adic   q-invariant distribution on $\Bbb Z_p$
  The purpose of this paper is to derive the analogue of Lebesgue-Radon-Nikodym theorem with respect to $p$-adic $q$-invariant distribution on $\Bbb Z_p$ which is defined by author in [1]. 
Taekyun Kim