A noncommutative Davis' decomposition for martingales

• Autores: Mathilde Perrin
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 80, Nº 3, 2009, págs. 627-648
• Idioma: inglés
• DOI: 10.1112/jlms/jdp045
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• Resumen

  • We prove an analogue of the classical Davis� decomposition for martingales in noncommutative Lp-spaces, involving square functions. We also determine the dual space of the noncommutative conditioned Hardy space h1. We further extend this latter result to the case 1 < p < 2.