The mixed Lq-spectra of self-conformal measures satisfying the weak separation condition

By now the Lq-spectra of self-conformal measures satisfying the so-called open set condition are well understood. However, if the open set condition is not satisfied, then almost nothing is known. In this paper we compute the mixed Lq-spectra for self-conformal measures, which have bound distortion property and satisfy the weak separation condition.