Weights for commutators of the one-sided discrete square function, the Weyl fractional integral and other one-sided operators
Published online by Cambridge University Press: 12 July 2007
Abstract
The purpose of this paper is to prove strong-type inequalities with one-sided weights for commutators (with symbol b ∈ BMO) of several one-sided operators, such as the one-sided discrete square function, the one-sided fractional operators, or one-sided maximal operators given by the convolution with a smooth function. We also prove that b ∈ BMO is a necessary condition for the boundedness of commutators of these one-sided operators.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 135 , Issue 4 , August 2005 , pp. 845 - 862
- Copyright
- Copyright © Royal Society of Edinburgh 2005
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