Abstract
In this paper, the authors give a characterization of the (L p, λ, L q, λ)-compactness for the Riesz potential commutator [b,I α ]. More precisely, the authors prove that the commutator [b,I α ] is a compact operator from the Morrey space L p, λ(ℝn) to L q, λ(ℝn) if and only if b ∈ VMO(ℝn), the BMO-closure of \(C_c^\infty({\Bbb R}^n)\).
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The research was supported by NSF of China (Grant: 10571015, 10826046) and SRFDP of China (Grant: 20050027025).
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Chen, Y., Ding, Y. & Wang, X. Compactness of Commutators of Riesz Potential on Morrey Spaces. Potential Anal 30, 301–313 (2009). https://doi.org/10.1007/s11118-008-9114-4
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DOI: https://doi.org/10.1007/s11118-008-9114-4