Operator valued BMO and commutators

• Autores: Óscar Blasco de la Cruz
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 53, Nº 1, 2009, págs. 231-244
• Idioma: inglés
• DOI: 10.5565/publmat_53109_10
• Enlaces
  • Texto completo
• Resumen

  • If E is a Banach space, b 2 BMO(Rn, L(E)) and T is a L(E)-valued Calderon-Zygmund type operator with operator-valued kernel k, we show the boundedness of the commutator Tb(f) = bT(f) - T(bf) on Lp(Rn,E) for 1 < p < 1 whenever b and k verify some commuting properties. Some endpoint estimates are also provided.