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