Absolute values of BMOA functions

Dyakonov, Konstantin M.

doi:10.4171/RMI/262

Revista Matemática Iberoamericana

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Volume 15, Issue 3, 1999, pp. 451–473

DOI: 10.4171/RMI/262

Published online: 1999-12-31

Absolute values of BMOA functions

Konstantin M. Dyakonov^[1]

(1) Universitat de Barcelona, Spain

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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Dyakonov Konstantin: Absolute values of BMOA functions. Rev. Mat. Iberoam. 15 (1999), 451-473. doi: 10.4171/RMI/262