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Absolute values of BMOA functions.

Konstantin M. Dyakonov — 1999

Revista Matemática Iberoamericana

The paper contains a complete characterization of the moduli of BMOA functions. These are described explicitly by a certain Muckenhoupt-type condition involving Poisson integrals. As a consequence, it is shown that an outer function with BMO modulus need not belong to BMOA. Some related results are obtained for the Bloch space.

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