Corona and Wolff theorems for the multiplier algebras of $\boldsymbol{\qk}$ spaces

In this paper, a new characterization of the logarithmic $K$-Carleson measure on $\\D$ is given.We characterize the multiplier algebra $M(\\QK)$ of $\\QK$ spaces in terms of the logarithmic $K$-Carleson measure on $\\D$ and obtain the corona theoremand the Wolff theorem for the multiplier algebra $M(\\QK)$.