Absolute values of BMOA functions.

Konstantin M. Dyakonov

Revista Matemática Iberoamericana (1999)

  • Volume: 15, Issue: 3, page 451-473
  • ISSN: 0213-2230

Abstract

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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.

How to cite

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Dyakonov, Konstantin M.. "Absolute values of BMOA functions.." Revista Matemática Iberoamericana 15.3 (1999): 451-473. <http://eudml.org/doc/39581>.

@article{Dyakonov1999,
abstract = {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.},
author = {Dyakonov, Konstantin M.},
journal = {Revista Matemática Iberoamericana},
keywords = {Módulos; Funciones analíticas; Funciones integrales; BMOA; Bloch function},
language = {eng},
number = {3},
pages = {451-473},
title = {Absolute values of BMOA functions.},
url = {http://eudml.org/doc/39581},
volume = {15},
year = {1999},
}

TY - JOUR
AU - Dyakonov, Konstantin M.
TI - Absolute values of BMOA functions.
JO - Revista Matemática Iberoamericana
PY - 1999
VL - 15
IS - 3
SP - 451
EP - 473
AB - 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.
LA - eng
KW - Módulos; Funciones analíticas; Funciones integrales; BMOA; Bloch function
UR - http://eudml.org/doc/39581
ER -

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