Abstract
The integral operator induced by the reproducing kernel of H2(D) plays an important role in operator theory on the function spaces. In this paper, by the techniques of discrete harmonic analysis and dyadic methods, the one weight inequality of integral operator induced by Hardy kernel is established. We introduce R 2,2-weight and characterize it by a Carleson box maximal operator M 1/2. Meanwhile, we discuss the p - q boundedness of M 1/2.
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