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BMO from dyadic BMO on the bidisc

  • Autores: Jill Pipher, Lesley A. Ward
  • Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 77, Nº 2, 2008, págs. 524-544
  • Idioma: inglés
  • DOI: 10.1112/jlms/jdm114
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We generalize to the bidisc a theorem of Garnett and Jones relating the space BMO of functions of bounded mean oscillation to its martingale counterpart, dyadic BMO. Namely, translation-averages of suitable families of dyadic BMO functions belong to BMO. As a corollary, we deduce a biparameter version of a theorem of Burgess Davis connecting the Hardy space H1 to martingale H1. We also prove the analogs of the theorem of Garnett and Jones in the one-parameter and biparameter VMO spaces of functions of vanishing mean oscillation.


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