Absolute values of BMOA functions

• Autores: Konstantin M. Dyakonov
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 15, Nº 3, 1999, págs. 451-473
• Idioma: inglés
• Títulos paralelos:
  • Valores absolutos de funciones BMOA
• Enlaces
  • Texto completo (pdf)
• Resumen

  • 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.