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Compactness of Commutators of One-Sided Singular Integrals in Weighted Lebesgue Spaces

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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… Click to show full abstract

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.

Keywords: commutators one; one sided; sided singular; integrals weighted; singular integrals; compactness commutators

Journal Title: Proceedings of the Edinburgh Mathematical Society
Year Published: 2019

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