The corona theorem for bounded analytic functions in QK type spaces

For 1 < p < 8 and a nondecreasing function K on [0, 8), we give an explicit derivative-free characterization of Q(K) type space, denoted by Q(K)(p) and characterize the boundary version of Q(K)(p) . By using these results, we prove the corona theorems both for Q(K)(p) n H-8 and for the multiplier algebra of Q(K)(p) under some assumptions of the weight function K.