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Characterizations of bounded mean oscillation through commutators of bilinear singular integral operators

Published online by Cambridge University Press:  13 July 2016

Lucas Chaffee*
Affiliation:
Department of Mathematics, University of Kansas, 405 Snow Hall, 1460 Jayhawk Boulevard, Lawrence, KS 66045-7594, USA ([email protected])

Extract

We characterize bounded mean oscillation in terms of the boundedness of commutators of various bilinear singular integral operators with pointwise multiplication. In particular, we study commutators of a wide class of bilinear operators of convolution type, including bilinear Calderón–Zygmund operators and the bilinear fractional integral operators.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2016 

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