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Compactness of Commutators of One-Sided Singular Integrals in Weighted Lebesgue Spaces
Published online by Cambridge University Press: 10 January 2019
Abstract
We prove that if p > 1, $w\in A_p^ +$, b ∈ CMO and $C_b^ + $ is the commutator with symbol b of a Calderón–Zygmund convolution singular integral with kernel supported on (−∞, 0), then $C_b^ + $ is compact from Lp(w) into itself.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 62 , Issue 3 , August 2019 , pp. 655 - 665
- Copyright
- Copyright © Edinburgh Mathematical Society 2019