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calderón–zygmund theory

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Characterizations of bounded mean oscillation through commutators of bilinear singular integral operators
Part of
- Harmonic analysis in several variables
Lucas Chaffee
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 146 / Issue 6 / December 2016

Published online by Cambridge University Press:

13 July 2016, pp. 1159-1166

Print publication:

December 2016
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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.