Sharp weighted estimates for vector-valued singular integral operators and commutators

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Some BMO estimates for vector-valued multilinear singular integral operators

Let b ∈ BMO(Rn) and T be the Calderón–Zygmund singular integral operator. The commutator [b,T ] generated by b and T is defined as [b,T ]( f )(x) = b(x)T ( f )(x)−T (b f )(x). By using a classical result of Coifman et al [8], we know that the commutator [b,T ] is bounded on Lp(Rn) for 1 < p < ∞. Chanillo [1] proves a similar result when T is replaced by the fractional integral operator. However...

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ژورنال

عنوان ژورنال: Tohoku Mathematical Journal

سال: 2003

ISSN: 0040-8735

DOI: 10.2748/tmj/1113247449