An extrapolation of operator-valued dyadic paraproducts
- Autores: Tao Mei
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 3, 2010, págs. 650-662
- Idioma: inglés
- DOI: 10.1112/jlms/jdq004
- Enlaces
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Resumen
We consider the dyadic paraproducts �Î. on T associated with an M-valued function .. Here T is the unit circle and M is a tracial von Neumann algebra. We prove that their boundedness on Lp(T, Lp(M)) for some 1 < p < ��implies their boundedness on Lp(T, Lp(M)) for all 1 < p < �� provided that . is in an operator-valued BMO space. We also consider a modified version of dyadic paraproducts and their boundedness on Lp(T, Lp(M)).
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