Higher order commutators for vector-valued Calderón-Zygmund operators

Segovia, Carlos; Torrea, José L.

doi:10.1090/S0002-9947-1993-1074151-6

Higher order commutators for vector-valued Calderón-Zygmund operators
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by Carlos Segovia and José L. Torrea PDF

Trans. Amer. Math. Soc. 336 (1993), 537-556 Request permission

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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