Abstract

ABSTRACT For 1 < p < ∞ and a nondecreasing function K on [ 0 , ∞ ) , 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 ∩ H ∞ and for the multiplier algebra of Q K p under some assumptions of the weight function K.

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