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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Higher order commutators for vector-valued Calderón-Zygmund operators


Authors: Carlos Segovia and José L. Torrea
Journal: Trans. Amer. Math. Soc. 336 (1993), 537-556
MSC: Primary 42B20; Secondary 42B25
DOI: https://doi.org/10.1090/S0002-9947-1993-1074151-6
MathSciNet review: 1074151
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Abstract: Weighted norm estimates for higher order commutators are obtained. The proof, that remain valid in the vector-valued case, are obtained as an application of some extrapolation results. The vector-valued version of the commutator theorem is applied to the Carleson operator, U.M.D. Banach spaces, approximate identities and maximal operators.


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DOI: https://doi.org/10.1090/S0002-9947-1993-1074151-6
Article copyright: © Copyright 1993 American Mathematical Society