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Weighted estimates for commutators of linear operators. (English) Zbl 0809.42006

Summary: We study boundedness properties of commutators of general linear operators with real-valued BMO functions on weighted \(L^ p\) spaces. We then derive applications to particular important operators, such as Calderón-Zygmund type operators, pseudodifferential operators, multipliers, rough singular integrals, and maximal type operators.

MSC:

42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
42B25 Maximal functions, Littlewood-Paley theory
46E40 Spaces of vector- and operator-valued functions
35S05 Pseudodifferential operators as generalizations of partial differential operators
42B30 \(H^p\)-spaces
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