Alvarez, Josefina; Bagby, Richard J.; Kurtz, Douglas S.; Pérez, Carlos Weighted estimates for commutators of linear operators. (English) Zbl 0809.42006 Stud. Math. 104, No. 2, 195-209 (1993). 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. Cited in 2 ReviewsCited in 87 Documents 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 Keywords:functions of bounded mean oscillation; weighted inequalities; boundedness; commutators; linear operators; BMO functions; Calderón-Zygmund type operators; pseudo-differential operators; multipliers; singular integrals; maximal type operators PDFBibTeX XMLCite \textit{J. Alvarez} et al., Stud. Math. 104, No. 2, 195--209 (1993; Zbl 0809.42006) Full Text: DOI EuDML