JournalsrmiVol. 15, No. 3pp. 451–473

Absolute values of BMOA functions

  • Konstantin M. Dyakonov

    Universitat de Barcelona, Spain
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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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Konstantin M. Dyakonov, Absolute values of BMOA functions. Rev. Mat. Iberoam. 15 (1999), no. 3, pp. 451–473

DOI 10.4171/RMI/262